{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import Libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:50:39.760284Z",
     "start_time": "2020-05-01T19:50:39.71585Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "sns.set(style='darkgrid')\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.svm import SVR\n",
    "from sklearn.ensemble import RandomForestRegressor\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "\n",
    "from xgboost import XGBRegressor\n",
    "\n",
    "from warnings import filterwarnings\n",
    "filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Read Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:50:41.295779Z",
     "start_time": "2020-05-01T19:50:41.202361Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train shape: (1460, 81)\n",
      "Test Shape: (1459, 80)\n"
     ]
    }
   ],
   "source": [
    "df_test=pd.read_csv(\"../input/house-prices-advanced-regression-techniques/test.csv\")\n",
    "df_train=pd.read_csv(\"../input/house-prices-advanced-regression-techniques/train.csv\")\n",
    "print(\"Train shape:\",df_train.shape)\n",
    "print(\"Test Shape:\",df_test.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Separate features and target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:42:05.548844Z",
     "start_time": "2020-05-01T19:42:05.530839Z"
    }
   },
   "outputs": [],
   "source": [
    "X_trainfull=df_train.drop([\"SalePrice\"], axis=1)\n",
    "y=df_train.SalePrice"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distribution of Saleprice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T16:22:19.106228Z",
     "start_time": "2020-05-01T16:22:18.795205Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.title(\"Distribution of Sales Price (y)\")\n",
    "sns.distplot(y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It can be observed from above that y is right-skewed, log transform can be applied to make it normal distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:42:47.253496Z",
     "start_time": "2020-05-01T19:42:46.645402Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y=np.log1p(y)\n",
    "\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.title(\"Distribution of log Sales Price (y)\")\n",
    "sns.distplot(y)\n",
    "plt.xlabel(\"Log of Sales Price\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Percentage of null valued features in Train data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:43:08.214489Z",
     "start_time": "2020-05-01T19:43:07.606443Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d_temp=X_trainfull.isna().sum().sort_values(ascending=False)\n",
    "d_temp=d_temp[d_temp>0]\n",
    "d_temp=d_temp/df_train.shape[0]*100\n",
    "\n",
    "plt.figure(figsize=(8,5))\n",
    "plt.title(\"Features Vs Percentage Of Null Values\")\n",
    "sns.barplot(y=d_temp.index,x=d_temp, orient='h')\n",
    "plt.xlim(0,100)\n",
    "plt.xlabel(\"Null Values (%)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Drop features where more than 20% records are null"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:43:53.137664Z",
     "start_time": "2020-05-01T19:43:53.122657Z"
    }
   },
   "outputs": [],
   "source": [
    "na_index=(d_temp[d_temp>20]).index\n",
    "X_trainfull.drop(na_index, axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Drop na>20% fields"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split Categorical and Numeric Features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:43.746398Z",
     "start_time": "2020-05-01T20:32:43.699499Z"
    }
   },
   "outputs": [],
   "source": [
    "num_cols=X_trainfull.corrwith(y).abs().sort_values(ascending=False).index\n",
    "X_num=X_trainfull[num_cols]\n",
    "X_cat=X_trainfull.drop(num_cols,axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# NUMERICAL FEATURES: FEATURE SELECTION AND ENGINEERING"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# View sample data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:46.751364Z",
     "start_time": "2020-05-01T20:32:46.707361Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>OverallQual</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>GarageCars</th>\n",
       "      <th>GarageArea</th>\n",
       "      <th>TotalBsmtSF</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>FullBath</th>\n",
       "      <th>YearBuilt</th>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <th>GarageYrBlt</th>\n",
       "      <th>...</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>3SsnPorch</th>\n",
       "      <th>LowQualFinSF</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>OverallCond</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>Id</th>\n",
       "      <th>BsmtHalfBath</th>\n",
       "      <th>BsmtFinSF2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1186</th>\n",
       "      <td>3</td>\n",
       "      <td>1699</td>\n",
       "      <td>2</td>\n",
       "      <td>420</td>\n",
       "      <td>978</td>\n",
       "      <td>1014</td>\n",
       "      <td>2</td>\n",
       "      <td>1900</td>\n",
       "      <td>1970</td>\n",
       "      <td>1920.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2009</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>1187</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>107</th>\n",
       "      <td>5</td>\n",
       "      <td>789</td>\n",
       "      <td>1</td>\n",
       "      <td>250</td>\n",
       "      <td>789</td>\n",
       "      <td>789</td>\n",
       "      <td>1</td>\n",
       "      <td>1948</td>\n",
       "      <td>1950</td>\n",
       "      <td>1948.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2008</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>108</td>\n",
       "      <td>0</td>\n",
       "      <td>169</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>544</th>\n",
       "      <td>7</td>\n",
       "      <td>1496</td>\n",
       "      <td>2</td>\n",
       "      <td>426</td>\n",
       "      <td>654</td>\n",
       "      <td>664</td>\n",
       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>2006</td>\n",
       "      <td>2006.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2006</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>545</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1326</th>\n",
       "      <td>3</td>\n",
       "      <td>774</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>544</td>\n",
       "      <td>774</td>\n",
       "      <td>1</td>\n",
       "      <td>1931</td>\n",
       "      <td>2006</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2007</td>\n",
       "      <td>6</td>\n",
       "      <td>0</td>\n",
       "      <td>1327</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1278</th>\n",
       "      <td>8</td>\n",
       "      <td>2031</td>\n",
       "      <td>2</td>\n",
       "      <td>577</td>\n",
       "      <td>1128</td>\n",
       "      <td>1128</td>\n",
       "      <td>2</td>\n",
       "      <td>2002</td>\n",
       "      <td>2002</td>\n",
       "      <td>2002.0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2008</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "      <td>1279</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 37 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      OverallQual  GrLivArea  GarageCars  GarageArea  TotalBsmtSF  1stFlrSF  \\\n",
       "1186            3       1699           2         420          978      1014   \n",
       "107             5        789           1         250          789       789   \n",
       "544             7       1496           2         426          654       664   \n",
       "1326            3        774           0           0          544       774   \n",
       "1278            8       2031           2         577         1128      1128   \n",
       "\n",
       "      FullBath  YearBuilt  YearRemodAdd  GarageYrBlt  ...  PoolArea  MoSold  \\\n",
       "1186         2       1900          1970       1920.0  ...         0       8   \n",
       "107          1       1948          1950       1948.0  ...         0       4   \n",
       "544          2       2006          2006       2006.0  ...         0       9   \n",
       "1326         1       1931          2006          NaN  ...         0       5   \n",
       "1278         2       2002          2002       2002.0  ...         0       3   \n",
       "\n",
       "      3SsnPorch  LowQualFinSF  YrSold  OverallCond  MiscVal    Id  \\\n",
       "1186          0             0    2009            5        0  1187   \n",
       "107           0             0    2008            5        0   108   \n",
       "544           0             0    2006            5        0   545   \n",
       "1326          0             0    2007            6        0  1327   \n",
       "1278          0             0    2008            5        0  1279   \n",
       "\n",
       "      BsmtHalfBath  BsmtFinSF2  \n",
       "1186             0           0  \n",
       "107              0         169  \n",
       "544              0           0  \n",
       "1326             0           0  \n",
       "1278             0           0  \n",
       "\n",
       "[5 rows x 37 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_num.sample(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T16:29:29.915979Z",
     "start_time": "2020-05-01T16:29:29.911979Z"
    }
   },
   "source": [
    "# Identify Features Highly correlated with target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:47.178694Z",
     "start_time": "2020-05-01T20:32:47.111982Z"
    }
   },
   "outputs": [],
   "source": [
    "high_corr_num=X_num.corrwith(y)[X_num.corrwith(y).abs()>0.5].index\n",
    "X_num=X_num[high_corr_num]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Heat-map of highly correlated Features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:48.629245Z",
     "start_time": "2020-05-01T20:32:47.445541Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correlation of Each feature with target\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "OverallQual     0.817185\n",
       "GrLivArea       0.700927\n",
       "GarageCars      0.680625\n",
       "GarageArea      0.650888\n",
       "TotalBsmtSF     0.612134\n",
       "1stFlrSF        0.596981\n",
       "FullBath        0.594771\n",
       "YearBuilt       0.586570\n",
       "YearRemodAdd    0.565608\n",
       "GarageYrBlt     0.541073\n",
       "TotRmsAbvGrd    0.534422\n",
       "dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "sns.heatmap(X_num.corr(), annot=True, cmap='coolwarm')\n",
    "plt.show()\n",
    "\n",
    "print(\"Correlation of Each feature with target\")\n",
    "X_num.corrwith(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Remove multi-colinear features "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:48.662728Z",
     "start_time": "2020-05-01T20:32:48.629245Z"
    }
   },
   "outputs": [],
   "source": [
    "X_num=X_num[high_corr_num]\n",
    "X_num.drop(['TotRmsAbvGrd','GarageArea','1stFlrSF','GarageYrBlt'],axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Handling Null values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:48.693986Z",
     "start_time": "2020-05-01T20:32:48.662728Z"
    },
    "code_folding": [
     0
    ]
   },
   "outputs": [],
   "source": [
    "#function to handle NA\n",
    "def handle_na(df, func):\n",
    "    \"\"\"\n",
    "    Input dataframe and function \n",
    "    Returns dataframe after filling NA values\n",
    "    eg: df=handle_na(df, 'mean')\n",
    "    \"\"\"\n",
    "    na_cols=df.columns[df.isna().sum()>0]\n",
    "    for col in na_cols:\n",
    "        if func=='mean':\n",
    "            df[col]=df[col].fillna(df[col].mean())\n",
    "        if func=='mode':\n",
    "            df[col]=df[col].fillna(df[col].mode()[0])\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:48.709617Z",
     "start_time": "2020-05-01T20:32:48.693986Z"
    }
   },
   "outputs": [],
   "source": [
    "X_num=handle_na(X_num, 'mean')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scale values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:48.862452Z",
     "start_time": "2020-05-01T20:32:48.835787Z"
    },
    "code_folding": [
     0
    ]
   },
   "outputs": [],
   "source": [
    "# Function to scale df \n",
    "def scale_df(df):\n",
    "    \"\"\"\n",
    "    Input: data frame\n",
    "    Output: Returns minmax scaled Dataframe \n",
    "    eg: df=scale_df(df)\n",
    "    \"\"\"\n",
    "    scaler=MinMaxScaler()\n",
    "    for col in df.columns:\n",
    "        df[col]=scaler.fit_transform(np.array(df[col]).reshape(-1,1))\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:49.662202Z",
     "start_time": "2020-05-01T20:32:49.645545Z"
    }
   },
   "outputs": [],
   "source": [
    "X_num=scale_df(X_num)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Testing : Only Numerical Features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:50.605361Z",
     "start_time": "2020-05-01T20:32:50.567924Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.8569625454917547\n",
      "Validation score : 0.6218006147571911\n"
     ]
    }
   ],
   "source": [
    "X_train, X_val, y_train, y_val=train_test_split(X_num,y, test_size=0.2)\n",
    "model=LinearRegression()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:50.956169Z",
     "start_time": "2020-05-01T20:32:50.846751Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.8771622022535696\n",
      "Validation score : 0.8289833791641507\n"
     ]
    }
   ],
   "source": [
    "model=SVR()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:51.840993Z",
     "start_time": "2020-05-01T20:32:51.226017Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9776728005240155\n",
      "Validation score : 0.7967302623399838\n"
     ]
    }
   ],
   "source": [
    "model=RandomForestRegressor(n_estimators=100)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:51.983813Z",
     "start_time": "2020-05-01T20:32:51.840993Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9522062554036635\n",
      "Validation score : 0.7774634279697547\n"
     ]
    }
   ],
   "source": [
    "model=XGBRegressor(learning_rate=0.1)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observation:\n",
    "* Linear Regression and SVM models show similar performance moderately good score in both training and validation data\n",
    "* Random forest model is overfitting\n",
    "* XGB Regressor seems to be the best suited model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# List the Numerical features required"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:53.864917Z",
     "start_time": "2020-05-01T20:32:53.849264Z"
    }
   },
   "outputs": [],
   "source": [
    "num_features=X_num.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CATEGORICAL DATA FEATURE SELECTION AND ENGINEERING"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Explore Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:32:55.197149Z",
     "start_time": "2020-05-01T20:32:55.119002Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>Street</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>LandSlope</th>\n",
       "      <th>Neighborhood</th>\n",
       "      <th>Condition1</th>\n",
       "      <th>Condition2</th>\n",
       "      <th>...</th>\n",
       "      <th>Electrical</th>\n",
       "      <th>KitchenQual</th>\n",
       "      <th>Functional</th>\n",
       "      <th>GarageType</th>\n",
       "      <th>GarageFinish</th>\n",
       "      <th>GarageQual</th>\n",
       "      <th>GarageCond</th>\n",
       "      <th>PavedDrive</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1218</th>\n",
       "      <td>RM</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>BrkSide</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>TA</td>\n",
       "      <td>Typ</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>N</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>115</th>\n",
       "      <td>FV</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Corner</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Somerst</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>TA</td>\n",
       "      <td>Typ</td>\n",
       "      <td>Detchd</td>\n",
       "      <td>Unf</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>672</th>\n",
       "      <td>RL</td>\n",
       "      <td>Pave</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Veenker</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>TA</td>\n",
       "      <td>Typ</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>RFn</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>635</th>\n",
       "      <td>RH</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Bnk</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>SWISU</td>\n",
       "      <td>Feedr</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>FuseA</td>\n",
       "      <td>Fa</td>\n",
       "      <td>Typ</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>N</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>362</th>\n",
       "      <td>RL</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Corner</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>Edwards</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>Gd</td>\n",
       "      <td>Typ</td>\n",
       "      <td>BuiltIn</td>\n",
       "      <td>RFn</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>ConLD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 38 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     MSZoning Street LotShape LandContour Utilities LotConfig LandSlope  \\\n",
       "1218       RM   Pave      Reg         Lvl    AllPub    Inside       Gtl   \n",
       "115        FV   Pave      Reg         Lvl    AllPub    Corner       Gtl   \n",
       "672        RL   Pave      IR1         Lvl    AllPub    Inside       Gtl   \n",
       "635        RH   Pave      Reg         Bnk    AllPub    Inside       Gtl   \n",
       "362        RL   Pave      Reg         Lvl    AllPub    Corner       Gtl   \n",
       "\n",
       "     Neighborhood Condition1 Condition2  ... Electrical KitchenQual  \\\n",
       "1218      BrkSide       Norm       Norm  ...      SBrkr          TA   \n",
       "115       Somerst       Norm       Norm  ...      SBrkr          TA   \n",
       "672       Veenker       Norm       Norm  ...      SBrkr          TA   \n",
       "635         SWISU      Feedr       Norm  ...      FuseA          Fa   \n",
       "362       Edwards       Norm       Norm  ...      SBrkr          Gd   \n",
       "\n",
       "     Functional GarageType GarageFinish GarageQual GarageCond PavedDrive  \\\n",
       "1218        Typ        NaN          NaN        NaN        NaN          N   \n",
       "115         Typ     Detchd          Unf         TA         TA          Y   \n",
       "672         Typ     Attchd          RFn         TA         TA          Y   \n",
       "635         Typ        NaN          NaN        NaN        NaN          N   \n",
       "362         Typ    BuiltIn          RFn         TA         TA          Y   \n",
       "\n",
       "     SaleType SaleCondition  \n",
       "1218       WD        Normal  \n",
       "115        WD        Normal  \n",
       "672        WD        Normal  \n",
       "635        WD       Abnorml  \n",
       "362     ConLD        Normal  \n",
       "\n",
       "[5 rows x 38 columns]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_cat.sample(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T19:51:19.84883Z",
     "start_time": "2020-05-01T19:51:19.639783Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>Street</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>LotConfig</th>\n",
       "      <th>LandSlope</th>\n",
       "      <th>Neighborhood</th>\n",
       "      <th>Condition1</th>\n",
       "      <th>Condition2</th>\n",
       "      <th>...</th>\n",
       "      <th>Electrical</th>\n",
       "      <th>KitchenQual</th>\n",
       "      <th>Functional</th>\n",
       "      <th>GarageType</th>\n",
       "      <th>GarageFinish</th>\n",
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       "      <th>count</th>\n",
       "      <td>1460</td>\n",
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       "      <td>1459</td>\n",
       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
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       "      <td>1379</td>\n",
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       "      <td>1460</td>\n",
       "      <td>1460</td>\n",
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       "    <tr>\n",
       "      <th>unique</th>\n",
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       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>25</td>\n",
       "      <td>9</td>\n",
       "      <td>8</td>\n",
       "      <td>...</td>\n",
       "      <td>5</td>\n",
       "      <td>4</td>\n",
       "      <td>7</td>\n",
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       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top</th>\n",
       "      <td>RL</td>\n",
       "      <td>Pave</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>Inside</td>\n",
       "      <td>Gtl</td>\n",
       "      <td>NAmes</td>\n",
       "      <td>Norm</td>\n",
       "      <td>Norm</td>\n",
       "      <td>...</td>\n",
       "      <td>SBrkr</td>\n",
       "      <td>TA</td>\n",
       "      <td>Typ</td>\n",
       "      <td>Attchd</td>\n",
       "      <td>Unf</td>\n",
       "      <td>TA</td>\n",
       "      <td>TA</td>\n",
       "      <td>Y</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <td>1151</td>\n",
       "      <td>1454</td>\n",
       "      <td>925</td>\n",
       "      <td>1311</td>\n",
       "      <td>1459</td>\n",
       "      <td>1052</td>\n",
       "      <td>1382</td>\n",
       "      <td>225</td>\n",
       "      <td>1260</td>\n",
       "      <td>1445</td>\n",
       "      <td>...</td>\n",
       "      <td>1334</td>\n",
       "      <td>735</td>\n",
       "      <td>1360</td>\n",
       "      <td>870</td>\n",
       "      <td>605</td>\n",
       "      <td>1311</td>\n",
       "      <td>1326</td>\n",
       "      <td>1340</td>\n",
       "      <td>1267</td>\n",
       "      <td>1198</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4 rows × 38 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       MSZoning Street LotShape LandContour Utilities LotConfig LandSlope  \\\n",
       "count      1460   1460     1460        1460      1460      1460      1460   \n",
       "unique        5      2        4           4         2         5         3   \n",
       "top          RL   Pave      Reg         Lvl    AllPub    Inside       Gtl   \n",
       "freq       1151   1454      925        1311      1459      1052      1382   \n",
       "\n",
       "       Neighborhood Condition1 Condition2  ... Electrical KitchenQual  \\\n",
       "count          1460       1460       1460  ...       1459        1460   \n",
       "unique           25          9          8  ...          5           4   \n",
       "top           NAmes       Norm       Norm  ...      SBrkr          TA   \n",
       "freq            225       1260       1445  ...       1334         735   \n",
       "\n",
       "       Functional GarageType GarageFinish GarageQual GarageCond PavedDrive  \\\n",
       "count        1460       1379         1379       1379       1379       1460   \n",
       "unique          7          6            3          5          5          3   \n",
       "top           Typ     Attchd          Unf         TA         TA          Y   \n",
       "freq         1360        870          605       1311       1326       1340   \n",
       "\n",
       "       SaleType SaleCondition  \n",
       "count      1460          1460  \n",
       "unique        9             6  \n",
       "top          WD        Normal  \n",
       "freq       1267          1198  \n",
       "\n",
       "[4 rows x 38 columns]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_cat.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:19:37.83864Z",
     "start_time": "2020-05-01T20:19:37.781737Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSZoning :5: ['RL' 'RM' 'C (all)' 'FV' 'RH']\n",
      "Street :2: ['Pave' 'Grvl']\n",
      "LotShape :4: ['Reg' 'IR1' 'IR2' 'IR3']\n",
      "LandContour :4: ['Lvl' 'Bnk' 'Low' 'HLS']\n",
      "Utilities :2: ['AllPub' 'NoSeWa']\n",
      "LotConfig :5: ['Inside' 'FR2' 'Corner' 'CulDSac' 'FR3']\n",
      "LandSlope :3: ['Gtl' 'Mod' 'Sev']\n",
      "Neighborhood :25: ['CollgCr' 'Veenker' 'Crawfor' 'NoRidge' 'Mitchel' 'Somerst' 'NWAmes'\n",
      " 'OldTown' 'BrkSide' 'Sawyer' 'NridgHt' 'NAmes' 'SawyerW' 'IDOTRR'\n",
      " 'MeadowV' 'Edwards' 'Timber' 'Gilbert' 'StoneBr' 'ClearCr' 'NPkVill'\n",
      " 'Blmngtn' 'BrDale' 'SWISU' 'Blueste']\n",
      "Condition1 :9: ['Norm' 'Feedr' 'PosN' 'Artery' 'RRAe' 'RRNn' 'RRAn' 'PosA' 'RRNe']\n",
      "Condition2 :8: ['Norm' 'Artery' 'RRNn' 'Feedr' 'PosN' 'PosA' 'RRAn' 'RRAe']\n",
      "BldgType :5: ['1Fam' '2fmCon' 'Duplex' 'TwnhsE' 'Twnhs']\n",
      "HouseStyle :8: ['2Story' '1Story' '1.5Fin' '1.5Unf' 'SFoyer' 'SLvl' '2.5Unf' '2.5Fin']\n",
      "RoofStyle :6: ['Gable' 'Hip' 'Gambrel' 'Mansard' 'Flat' 'Shed']\n",
      "RoofMatl :8: ['CompShg' 'WdShngl' 'Metal' 'WdShake' 'Membran' 'Tar&Grv' 'Roll'\n",
      " 'ClyTile']\n",
      "Exterior1st :15: ['VinylSd' 'MetalSd' 'Wd Sdng' 'HdBoard' 'BrkFace' 'WdShing' 'CemntBd'\n",
      " 'Plywood' 'AsbShng' 'Stucco' 'BrkComm' 'AsphShn' 'Stone' 'ImStucc'\n",
      " 'CBlock']\n",
      "Exterior2nd :16: ['VinylSd' 'MetalSd' 'Wd Shng' 'HdBoard' 'Plywood' 'Wd Sdng' 'CmentBd'\n",
      " 'BrkFace' 'Stucco' 'AsbShng' 'Brk Cmn' 'ImStucc' 'AsphShn' 'Stone'\n",
      " 'Other' 'CBlock']\n",
      "MasVnrType :5: ['BrkFace' 'None' 'Stone' 'BrkCmn' nan]\n",
      "ExterQual :4: ['Gd' 'TA' 'Ex' 'Fa']\n",
      "ExterCond :5: ['TA' 'Gd' 'Fa' 'Po' 'Ex']\n",
      "Foundation :6: ['PConc' 'CBlock' 'BrkTil' 'Wood' 'Slab' 'Stone']\n",
      "BsmtQual :5: ['Gd' 'TA' 'Ex' nan 'Fa']\n",
      "BsmtCond :5: ['TA' 'Gd' nan 'Fa' 'Po']\n",
      "BsmtExposure :5: ['No' 'Gd' 'Mn' 'Av' nan]\n",
      "BsmtFinType1 :7: ['GLQ' 'ALQ' 'Unf' 'Rec' 'BLQ' nan 'LwQ']\n",
      "BsmtFinType2 :7: ['Unf' 'BLQ' nan 'ALQ' 'Rec' 'LwQ' 'GLQ']\n",
      "Heating :6: ['GasA' 'GasW' 'Grav' 'Wall' 'OthW' 'Floor']\n",
      "HeatingQC :5: ['Ex' 'Gd' 'TA' 'Fa' 'Po']\n",
      "CentralAir :2: ['Y' 'N']\n",
      "Electrical :6: ['SBrkr' 'FuseF' 'FuseA' 'FuseP' 'Mix' nan]\n",
      "KitchenQual :4: ['Gd' 'TA' 'Ex' 'Fa']\n",
      "Functional :7: ['Typ' 'Min1' 'Maj1' 'Min2' 'Mod' 'Maj2' 'Sev']\n",
      "GarageType :7: ['Attchd' 'Detchd' 'BuiltIn' 'CarPort' nan 'Basment' '2Types']\n",
      "GarageFinish :4: ['RFn' 'Unf' 'Fin' nan]\n",
      "GarageQual :6: ['TA' 'Fa' 'Gd' nan 'Ex' 'Po']\n",
      "GarageCond :6: ['TA' 'Fa' nan 'Gd' 'Po' 'Ex']\n",
      "PavedDrive :3: ['Y' 'N' 'P']\n",
      "SaleType :9: ['WD' 'New' 'COD' 'ConLD' 'ConLI' 'CWD' 'ConLw' 'Con' 'Oth']\n",
      "SaleCondition :6: ['Normal' 'Abnorml' 'Partial' 'AdjLand' 'Alloca' 'Family']\n"
     ]
    }
   ],
   "source": [
    "for feature in X_cat.columns:\n",
    "    print(\n",
    "        f\"{feature} :{len(X_cat[feature].unique())}: {X_cat[feature].unique()}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Drop features with more than 30 null values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:05.368124Z",
     "start_time": "2020-05-01T20:33:05.330365Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "cat_na=X_cat.isna().sum().sort_values(ascending=False)\n",
    "cat_na=cat_na[cat_na>30]\n",
    "X_cat.drop(cat_na.index, axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# EDA: Relation between each feature and saleprice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T12:18:41.308602Z",
     "start_time": "2020-05-01T12:18:28.942246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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j/RudJiL9GEBGCg2dJAygL5FIMHHikyJXRGR7GEAmwSd5EBmDAWQkpTIBEknNxyeRSHgansgIDCAjZWZmQKNRAwA0GjUyMzNErojI9jCAjOTr69foNBHpxwAyUkBAoM70qFFBIlVCZLsYQEZKTT3c6DQR6ccAMtLXX5/Smc7KYh8QUVMxgIhINAwgIw0Z4t3oNBHpxwAykoODg850mzZtRKqEyHYxgIz0ww/f6Ux///23IlVCZLsYQEby9fWDTCYDAMhkMl4HRGQEBpCRam5Grfn4pFIpb0YlMgIDyEhyuQs8PDwAAO7uHnB2lotcEZHtYQAZqby8DEVFhQCAoqIiDkpPZAQGkJGUygT8Z0hoaLVa3g1PZAQGkJEyMzOEp2Ko1SreDU9kBAaQkWrOgtkBAGQyO54FIzICA8hIoaGTIJXWjITIs2BExpFoax9u1QqUlFRCozHsx83IOIH09OONrnP9eg6qqn6Ds7McnTt7Nriev38A/Pwea1KtRC2BVCqBm5tTw8stWEuLo9VqIZFI0bGju9ilENkktoCaQaFYAwCIinrDZNskaknYAiIiq8UAIiLRMICISDQWCSCFQoHAwEB4eXnh0qVLwvx58+Zh4sSJCA8Px7Rp03DhwoV6369Wq7Fq1SoEBwdj9OjR2L9/vyXKJiIzs7PEToKCgjBjxgxMnz5dZ75CoUCHDh0AAGlpaVi6dCkSEhLqvF+pVOL69etITU1FeXk5wsPD4evri27dulmifCIyE4u0gLy9veHpWfc6mdrwAYDKykrhWet/lZKSgqlTp0IqlcLV1RXBwcH44osvzFYvEVmGRVpAjVm2bBkyMjKg1Wqxe/fuetfJz89Hly5dhGlPT08UFBRYqkQiMhPRA+jNN98EACQmJmLdunXYtWuX2fbV2PUIxrC3rxkR0d29g541iag+ogdQrfDwcMTExKCsrAwuLi46yzw9PZGXl4eBAwcCqNsiMpSpL0Ssrq55NvytW3dMtk2ilsRqL0S8e/cu8vPzhemjR4/C2dkZcnndkQVDQkKwf/9+aDQalJaWIi0tDWPHjrVkuURkBhZpAcXGxiI1NRXFxcWYPXs25HI5/vWvf+Hvf/87qqqqIJVK4ezsjLi4OKEjes6cOYiMjMSAAQMQFhaG06dPY8yYMQCA+fPno3v37pYonYjMiPeCNQPvBSNqnNUeghERMYCISDQMICITKy8vw9q1q/mkFAMwgIhMTKlMwOXLv/BJKQZgABGZUHl5GdLTj0Or1SI9/QRbQXowgIhMSKlMEM60ajQatoL0YAARmRCfF9c0DCAiE+Lz4pqGAURkQqGhk1A7qoxEIuHz4vRgABGZkFzuAg+PTgAADw8PODvXvbeR/osBRGRC5eVlKCoqAgDculXEs2B6MICITEipTEDt7ZUajZZnwfRgABGZEM+CNQ0DiMiEeBasaRhARCYUGjoJUmnNaTCpVMqzYHowgIhMSC53gb9/ACQSCfz9H+NZMD2sZkxoopYiNHQSbt68wdaPARhARCYml7sgOjpG7DJsAg/BiEg0DCAiEg0DiIhEwwAiItGwE5qoCTIyTiA9/Xij69Te/6XvFLy/fwD8/B4zWW22iC0gIhOrqKhARUWF2GXYBLaAiJrAz+8xva0WPrDScGwBEZFoGEBEJBoGEBGJhgFERKJhABGRaBhARCQaBhARiYYBRESiYQARkWgYQEQkGgYQEYmGAUREomEAEZFoGEBEJBqLDcehUChw5MgR3Lx5E0qlEn369EFZWRmWLFmC69evw8HBAT169MDq1avh6upa5/3R0dE4deoUXFxcAAAhISF4+eWXLVU+EZmBxVpAQUFB+Pjjj9G1a1dhnkQiwYsvvogjR45AqVSie/fu2LBhQ4PbeOmll5CUlISkpCSGD1ELYLEA8vb2hqenp848uVyOESNGCNODBw9GXl6epUoiIpFZTR+QRqPBvn37EBgY2OA6e/bsQWhoKObNm4fs7GwLVkdE5mA1Q7KuWbMGjo6OePbZZ+td/uqrr8Ld3R1SqRSJiYl48cUXkZaWBplMZvA+3NycTFUuAMDevmbf7u4dTLpdsm38vTCcVQSQQqFATk4O4uLiIJXW3yjr1KmT8Do8PBxvv/02CgoKdPqU9CkpqYRGo212vbWqq9UAgFu37phsm2T7+HvxX1KppNEvftEPwTZv3oxz585hx44dcHBwaHC9wsJC4fXJkychlUp1QomIbI/FWkCxsbFITU1FcXExZs+eDblcji1btiAuLg49e/ZEREQEAKBbt27YsWMHACAsLAw7d+5Ep06dEBUVhZKSEkgkEjg5OeF///d/YWdnFQ04IjKSxf6Cly9fjuXLl9eZ/8svvzT4nqSkJOH13r17zVEWEYlI9EMwImq9GEBEJBoGEBGJhgFERKJhABGRaBhARCQaBlArU15ehrVrV6OiolzsUogYQK2NUpmAy5d/wcGDB8QuhYgB1JqUl5chPf04tFot0tNPsBVEouO9DK2IUpkg3Iyr0Whw8OABPPfc8yJXReaWkXEC6enHG12n9svI2Vne6Hr+/gHw83vMZLWxBdSKZGZmQK1WAQDUahUyMzNEroisRUVFBSoqKiy+X7aAWhFfXz+cOHEMarUKMpkdfH39xC6JLMDP7zG9rRaFYg0AICrqDUuUJGi1AfTJJx8gNzenWdu4fr3m/bX/ec3RvXsPTJs2o9nbaUxo6CSkpx+HWg1IpVJMnPikWfdHpE+rDaDc3Bz8cvkKZG0bP+ZtjEZdM/LdldziZtWi/t0yncFyuQv8/QNw7NiX8Pd/TO/xPpG5tdoAAgBZWzkcewSJXQZ+y/nSYvsKDZ2EmzdvsPVDVqFVB1BrJJe7IDo6RuwyiADwLBjZAF693XIxgMjq8ertlqvJAZSfn4+ffvrJHLUQ1cGrt1s2g/uA8vLy8I9//AMXL16ERCLBjz/+iC+++AInT57Em2++ac4aqRVTKhOgVmsAAGq12qxXb5vi0gzA9i7PEJPBARQTE4NRo0bhk08+ER6n7OfnB4VCYbbiiDIzM6DR1DxnS6NRIzMzw2wBlJubg6uXLqJjEx52WZ82mprAvJN9uVnbKVarm/V+W2BwAJ09exY7d+6EVCqFRCIBAHTo0AF37vDha2Q+Q4d649SpkzrT5tRRJkNYB+u4PirpTss/3DQ4gNzc3JCTk4NevXoJ865cuQJPT0+zFEZNZ803HZpK7ZcftQwGd0I///zzmDt3Lj7//HOoVCocOnQIr776KubMmWPO+sjExLrp0Fg//PCdzvT3338rUiVkDga3gKZMmQK5XI5PP/0Unp6eSExMxN///ncEBwebsz5qAmu+6dBYNTfQfgW1Wg2ZTMYbaFuYJl0JHRwczMAhi/rvDbRqSKUy3kLSwhh8CBYbG4sffvhBZ94PP/zAU/BkVrU30EokEt5A2wIZ3AI6dOgQlixZojOvf//+mD9/PpYtW2bywqh1MKTjvLS0BHZ2drh+PafRa2usteOcGmZwC0gikUCr1erMU6vV0Pznmgcic6msrISdnT3s7HjvdEtj8P+ot7c3tmzZgsWLF0MqlUKj0WDbtm3w9jbvdRnUsrXEjnMynMEBtGzZMvztb3+Dv78/unTpgvz8fLi7uyMuLs6c9RFRC2ZwAHXu3BkJCQk4ffo0CgoK4OnpiYEDB0Iq5Q31RGScJh1US6VSDBkyxFy1EFEr02gAjRs3DocPHwYABAQENHgZ/LFjx0xeGBG1fI0G0Jo1/z3luX79erMXQ0StS6MBVHuGS61W4/PPP8eaNWvg4OBgkcKIqOUzqAdZJpMhIyODdyITkUkZ3Ak9c+ZMbNu2Da+88grs7e3NWRORKCoqylGqUlnNODzFKhU0LXwIWoMD6KOPPkJxcTH27NkDV1dXndYQO6GJyBgGB1BzO6EVCgWOHDmCmzdvQqlUok+fPigrK8OSJUtw/fp1ODg4oEePHli9ejVcXV3rvL+qqgqvv/46fv75Z8hkMkRFReHxxx83up6KinKofy+36EMBG6L+vRwVFbzNQGzOznJIi29Z1YiIHfTcfGvr41gb9Fufnp6Oy5cvo2/fvvDx8TGqqKCgIMyYMQPTp08X5kkkErz44ovCGNMKhQIbNmzAW2+9Vef97733Htq3b4//+7//w7Vr1zB9+nSkpqaiffv2RtVD1BLk5ubgyuUraN+u7pd2U2jVNVGQf6O0Wdu5W9W09+sNoJ07d+Ldd99F7969sXXrVixatEgnRAxV3z1jcrlcCB8AGDx4MPbt21fv+w8fPoy1a9cCAHr27In+/fvjxIkTGDduXJNrAWq+7W7dVlnNo5k5zAQZq307V/R7IETsMgAAP2d/0aT19Z4F+/TTT7F3717Ex8dj9+7d+OSTT4wurjEajQb79u1DYGBgvcvz8vLQtWtXYdrT0xMFBQVmqYWILENvC6isrAyDBw8GAAwbNgzFxcVmKWTNmjVwdHTEs88+a5btA4Cbm5Pw2t6+eY9eMTV7exnc3TtYZD8ALLIvU7FUzdb2OwHo/72wxZr/zKA+IK1WW++/Ws29IVWhUCAnJwdxcXENbqtLly64efOm0EGdn5+vc/hmiJKSSmg0NXVXV1vXM5eqq9W4dcv8jziq/bktsS9TsVTN1vY7Aej/vbD2mqVSic4X/1/pDaDffvsNDz/8sDCt1WqFaa1WC4lEggsXLhhd7ObNm3Hu3Dns3Lmz0ausQ0JC8Omnn2LAgAG4du0azp49i40bNxq9XyISn94A+vJL05ymjo2NRWpqKoqLizF79mzI5XJs2bIFcXFx6NmzJyIiIgAA3bp1w44dOwAAYWFh2LlzJzp16oQXXngB0dHRGD16NKRSKVavXg0np4aTlYisn94A+nPHL1DTWVxcXAwPD48m7Wj58uVYvnx5nfm//PJLg+9JSkoSXjs6OmLr1q1N2icRWTeDO29u376N1157DQMHDsSYMWMA1LSONm/ebLbiiKhlMziAVqxYAScnJxw9elS4F2zIkCHCeEFERE1l8PX/mZmZOHnyJOzt7YX7wFxdXVFSUmK24oioZTO4BdShQweUlZXpzMvLy4O7u7vJiyKi1sHgAJo6dSoiIyORlZUFjUaDH3/8EVFRUcLZKyKipjL4EGzOnDlwcHDA6tWroVKpsHTpUjz99NOYOXOmOesjG2brd2qT+RkcQBKJBLNmzcKsWbPMWA61JLm5Obj06y+QOTdvGF+NrOZq3+ySq83ajrrint51itXqZg9I9tt/nhbs2Mw7BIrVatjODTPGaTSAMjMzDdqIr6+vSYqhhtlqa0Lm7ADnx7o0e1+mUHEir9Hl3bv3MMl+yv7zGXe6v3nb6wDT1WStGg2gZcuW6d2ARCIx2dXS1LDc3Bxcu3IRnZ2aN3CZI2q+nX8vuNKs7RRUqpr1fmtkqkMzPkracI3+Nh89etRSdZABOjvZYfbA5g08ZSp7zjRv4CoioIlPRiUi61JRUY67VaVNHgjMXO5WlaKiwvC+L4MDqLKyEtu2bcO3336LsrIyneE4OCg91aeiohyq8j/09r1Yiqr8D1TYteynTNgagwNo5cqVKCwsxLx587B48WKsX78e7733HsaOHWvO+oioEc7Ocvx2R2NVQ7I2ZXhhgwMoIyMDKSkpcHFxgUwmQ3BwMAYMGIC5c+fy1DzVy9lZjmJVmVWdBePY29bF4IM1jUaDDh1qrkpwdHTE7du34e7ujpyc5p8aJqLWyeAW0EMPPYRvv/0Wvr6+GDZsGFatWoX27dujZ8+eZizPvJr7XDCN6ncAgNSubbPrADo2axtEtsjgAIqNjRU6nt944w1s3LgRd+7cwbp168xWnDmZ4gKv2ov67u/e3PDo2OIvOCOqj94AOnfuHBwcHNCnTx8AQGlpKd58801cunQJQ4YMgaenp9mLNAdTXHTGC86ImkdvAL311ltYsGCBEEDLli1DUVERIiIicOjQIaxfvx4rV640d52tXkVFOcoqVVZzAWBBpQouFTylTc2jtxM6OztbeKrp7du3cfLkSWzYsAHTp0/Hpk2b8NVXX5m9SCJqmfS2gNRqtTAE608//YSOHTuiV69eAGqeTnr79m3zVkgAak5pt6kqtqpbMdrylDY1k94WUO/evYVxn5EyOgUAABgcSURBVFNSUnTufC8sLBROzRMRNZXeFtCiRYvw8ssvY+XKlZBKpTrPhk9JScHQoUPNWiARtVx6A8jb2xtfffUVrl27hp49e+o8DDAgIADjx483a4FE1HIZdB2Qk5MT+vfvX2f+//zP/5i8ICJqPTgcB5mVuuJes++G1/xeMySrtK2s2bXArVmbIBNjAJHZmOrqbuGKc7dmbs+t5Q9xamsYQGQ2HOKU9GnesP1ERM3AACIi0TCAiEg0DCAiEg0DiIhEwwAiItEwgIhINLwOyIYUmGBAssp7NY9mdnJo3ndPQaUKPZu1BSIGkM0w1RW8Rf+5qrhj5+Ztryd4VTE1HwPIRvCqYmqJ2AdERKKxWAApFAoEBgbCy8sLly5d0jv/r7Zt2wZfX1+EhYUhLCwMq1atskTZRGRGFjsECwoKwowZMzB9+nSD5tcnPDwcUVFR5iqRiCzMYgFU+2QNQ+cTUctnU31AycnJCA0NxfPPP48ff/xR7HKIqJls5ixYREQE5s6dC3t7e2RkZGDevHlISUmBi4uLwdtwc3PSv1IT2NvXjNDn7m47TwZhzeZnyXpr92VN7O1lBv/sNhNA7u7uwms/Pz94enri8uXLGD58uMHbKCmphEajNVlN1dU1Q4XeunXHZNs0N9Zsfpast3Zf1qS6Wi387FKppNEvfpsJoMLCQnTq1AkAcOHCBdy8eVN4QCJRa3a3qhQ/Z3/RrG3cq64CADjYt2t2LYDhD8+0WADFxsYiNTUVxcXFmD17NuRyOZKTkxucDwBz5sxBZGQkBgwYgE2bNuHnn3+GVCqFvb091q1bp9MqImqNTD3utme35j5517VJNVksgJYvX47ly5cbPB8Adu3aJbxWKBRmq43IVtn6FfI2dRaMiFoWBhARiYYBRESiYQARkWgYQEQkGgYQEYnGZi5EpJYpI+ME0tOPN7pO7TUqtaeKG+LvHwA/v8dMVhuZHwOIrJ6zs7PYJZCZMIBIVH5+j7HV0oqxD4isXnl5GdauXY2KinKxSyETYwuIrJ5SmYDLl3/BwYMH8Nxzz4taC/usTIstILJq5eVlSE8/Dq1Wi/T0EzbRCnJycoJKVQ2VSiV2KVaPLSCyakplgjCGk0ajEb0VZEif1Ycfvo9jx77E/ff3EL3FZu3YAiKrlpmZAbW6piWhVquQmZkhckWNs8UWm5jYAmpBWmL/hK+vH06cOAa1WgWZzA6+vn5il9Qoa2uxWTu2gFoZZ2dnm7quJjR0EqRSCQBAKpVi4sQnRa6ocbbWYhMbW0AtSEu8pkYud4G/fwCOHfsS/v6PwdlZLnZJjbK1FpvY2AIiqxcaOgkPPuhl9a0foKZWiaS2xSaxiZrFxAAiqyeXuyA6OsbqWz9ATa0eHh4AAHd3D5uoWUwMICITKi8vQ1FRIQCgqKiIZ8H0YAARmZBSmQDtfx49p9VqcfDgAXELsnLshCYyofrOgol9Gt6aL89gC4jIhHx9/SCT1Xyv29JZMLEuz2ALiMiEQkMnIT39ONRq67luyZovz2ALiMiEaq9bkkgkNnHdktjYAiIysdDQSbh584ZVtH6sHQOIyMRqr1si/XgIRkSiYQARkWgYQEQkGgYQEYmGAUREomEAEZFoGEBEJBoGEBGJhgFERKJhABGRaBhARCQaBhARicYiAaRQKBAYGAgvLy9cunRJ7/y/UqvVWLVqFYKDgzF69Gjs37/fEmUTkZlZJICCgoLw8ccfo2vXrgbN/yulUonr168jNTUVn376KbZt24YbN26Ys2QisgCLBJC3tzc8PT0Nnv9XKSkpmDp1KqRSKVxdXREcHIwvvvjCHKUSkQXZxHhA+fn56NKlizDt6emJgoICs+7TkIG8c3Ku4Y8//sCbb66AnV3DH6W1PGedyNrYRACZipubk8Hr3ndfO9jbyxpdRyaTQqvVoKysRCcg69uWu3sHg/dN1FrYRAB5enoiLy8PAwcOBFC3RWSokpJKaDRag9YdMOARDBjwSIPLy8vLEBW1EABw504lXnhhXqPj/966dadpxRK1AFKppNEvfps4DR8SEoL9+/dDo9GgtLQUaWlpGDt2rKg1KZUJQphpNBo+gI7ICBYJoNjYWDz22GMoKCjA7NmzMWHChEbnA8CcOXNw9uxZAEBYWBi6deuGMWPG4KmnnsL8+fPRvXt3S5TeoPoeQEdETSPRarWGHZO0AE05BNPnww/fx7FjX0Kr1UIikWDUqCDRn4BJZG1axCGYNQoICERtdmu1WowaFSRyRYYpLy/D2rWrUVFRLnYpRAwgYx0/flRn+tixL0WqpGmUygRcvvwL+6zIKjCAjHTqVHqj09aovLwM6enHodVqkZ5+gq0gEh0DyEhubm6NTlsjnrkja8MAMlJJSUmj09aIZ+7I2jCAjDRypH+j09bI19cPMlnNtacymR18ff1ErohaOwaQkQICAnWmbeEsWGjoJEilEgCAVCrFxIlPilwRtXYMICOlph5udNoayeUu8PcPgEQigb//Y43eOkJkCQwgI3399Smd6aws2+hPCQ2dhAcf9GLrh6yCTdyMSqYjl7sgOjpG7DKIALAFZLQRI0Y2Ok1E+jGAjDRlSgQkkpoOXYlEiqlTnxG5IiLbwwAyklzuAl/fmlPvvr5+7NAlMgL7gJphypQIFBffYuuHyEgcjoOIzIbDcRCR1WIAEZFoGEBEJBoGEBGJhgFERKJhABGRaBhARCQaBhARiYYBRESiYQARkWgYQEQkGgYQEYmGAUREomEAEZFoGEBEJBoGUDOUl5dh7drVfMY6kZEYQM2gVCbg8uVf+Ix1IiMxgIxUXl6GkyePQavV4uTJ42wFERmBAWQkpTIBKpUaAKBSqdgKIjICA8hIp06lA6gdX1r7n2kiagoGkJHc3NwanSYi/RhARiopKWl0moj0YwAZaeRI/0aniUg/BpCRAgICdaZHjQoSqRIi28UAMtLx40f/9Gx4CY4d+1Lkiohsj8UCSKFQIDAwEF5eXrh06ZIw/+rVq3j66acxduxYPP3007h27Vq979+2bRt8fX0RFhaGsLAwrFq1ykKV1y8zMwO1D5XVarXIzMwQtR4iW2SxAAoKCsLHH3+Mrl276sxfsWIFpk2bhiNHjmDatGmIiYlpcBvh4eFISkpCUlISVqxYYe6SG+Xr6weZzA4AIJPZwdfXT9R6iGyRxQLI29sbnp6eOvNKSkpw/vx5PPHEEwCAJ554AufPn0dpaamlyjJaaOgk4RBMKpVg4sQnRa6IyPaI2geUn5+PTp06QSaTAQBkMhk8PDyQn59f7/rJyckIDQ3F888/jx9//NGSpdYhl7vAza0jAMDNrSOcneWi1kNki+zELsBQERERmDt3Luzt7ZGRkYF58+YhJSUFLi4uBm/Dzc3JZPWUlpaiqKgAAFBYWAA7O1WTaiEikQPI09MThYWFUKvVkMlkUKvVKCoqqnOoBgDu7u7Caz8/P3h6euLy5csYPny4wfsrKamERqPVv6IBdu/erdMJ/c9/7sYLL8w1ybaJWgqpVNLoF7+oh2Bubm7o27cvDh06BAA4dOgQ+vbtC1dX1zrrFhYWCq8vXLiAmzdvolevXhar9a++/vqUznRWFs+CETWVxVpAsbGxSE1NRXFxMWbPng25XI7k5GSsXLkS0dHRePfdd3HfffdBoVAI75kzZw4iIyMxYMAAbNq0CT///DOkUins7e2xbt06nVYREdkeibb2OKIVMO0h2P/i1KmTwvTIkY/ixRdfNsm2iVoKqz4Es2VTpkT86UpoKaZOfUbkiohsDwPISHK5C3x9a25A9fX142l4IiPYzGl4azRlSgSKi2+x9UNkJPYBEZHZsA+IiKwWA4iIRMMAIiLRMICISDQMICISDQOIiETDACIi0TCAiEg0repKaKlUInYJRK2Kvr+5VnUlNBFZFx6CEZFoGEBEJBoGEBGJhgFERKJhABGRaBhARCQaBhARiYYBRESiYQARkWha1a0Y+igUChw5cgQ3b96EUqlEnz59AACBgYFwcHBAmzZtAAAjRozA0qVLLVJTWVkZlixZguvXr8PBwQE9evTA6tWr4erqik8++QQffPAB2rZti48++ghOTg2PvftXV69exYYNG3Dx4kW0a9cOjo6OeOmllxAcHGyy2ms/NwcHB1RVVaF3796YM2cOhg4davQ2o6Oj0b9/fzz77LMmqxMApk6dinv37qG6uhrXrl3Dgw8+CAB4+OGH8fbbbzd5ezdu3MDkyZPx9ddfG/yer7/+Gi+99BJ69uwpzPPy8sK6detson6jaEnw7bffavPy8rSPP/649pdffhHm/3XaksrKyrRZWVnC9Nq1a7Wvv/66VqvVakNCQrSnT59u8jYLCwu1I0eO1CYkJOjM+/O0Kfz1czty5Ih22LBh2p9++snobUZFRWk//PBDU5RXr9zcXO3w4cNF2U5WVpZ20qRJFt+vObejDw/B/sTb2xuenp4GratUKjF16lSEh4cjPDwcmZmZwrLAwEBs3rwZTz/9NEaNGgWlUom9e/diypQpGD16NL777juDa5LL5RgxYoQwPXjwYOTl5WHhwoXIzc3FkiVL8Nprr+HGjRsYMWIENm7ciPDwcISEhODcuXNYvnw5QkNDMXXqVNy6dQsA8PHHH2PEiBEIDw8Xtuvh4SFM5+TkYObMmQgNDcWkSZNw4sQJYT0vLy/ExcVh8uTJCAoKwpEjRwz+WcaMGYOIiAi89957iI6OxkcffSQs+/N0dHQ0li9fjlmzZmHs2LFYvnw57t27V2d79+7dg0KhwJQpUxAWFobFixfj7t27KCkpQWBgIM6ePQsASEhIwDPPPAOVSmVwrRs3bsTu3bsBACkpKXjooYdQUlICoOaR4enp6cJnvnnzZoSHh2Ps2LF1/m/rW1ZSUoJZs2YhNDQUoaGheOuttwyuq6XVzwAyUGRkJMLCwhAWFoaTJ0/C398fn332GRITE7Fp0yZERUXprH/v3j18+umn2Lp1K9544w3Y29sjPj4er776KjZu3GhUDRqNBvv27UNgYCC2bNkCDw8PbN26VdheeXk5hg0bhsTEREyZMgWzZs3C9OnToVQq0a9fP+EP/Pz58xg4cGCD+1m0aBGeeOIJKJVKrF+/HosXL0Zpaamw3MnJCZ9//jnWrVuH2NjYJv0MgwYNwpUrV/Sud/r0aezYsQPJycnIy8vDZ599Vmed3bt3o0OHDoiPj0dSUhI8PDywc+dOuLm54e2338aiRYvw008/4Z133sGmTZtgZ2d4j4Ovr6/wpZKVlYXBgwcjKysL1dXVOHPmDIYNGwag5jMfPHgwEhMTMX/+fGzYsEHYRkPLlEolunTpAqVSCaVSifnz5wvvyc7OFn7PwsLCsH37doNrtob6m4oBZKCtW7ciKSkJSUlJePTRR5Gbm4sXXngBEyZMwKuvvori4mKhhQEA48ePBwD069cPVVVVGDduHACgf//+uH79ulE1rFmzBo6Ojg32fzg6OmLUqFHCfjt37oy+ffsK07X71TYyAEJlZSUuXLiAyZMnAwB69+6Nvn374qeffqrzsw0ePBhFRUX4448/DP4ZGtv3n40fPx7t27eHnZ0dwsPDkZWVVWedo0eP4uDBg8If69GjR4WfccSIEXjiiScwbdo0xMTEGNyyrTV06FCcPXsW9+7dww8//IB58+bh1KlTOH36NPr06YN27doBqPnMH3/8cQA1n0dubq6wjYaWDRo0CBkZGVAoFPjqq6/g6OgovOeBBx4Qfs+SkpKwYMGCJtUtdv1NxU5oI/3jH/9AdHQ0goODodFoMGjQIJ0/xNoOa5lMpjMtlUqbdChQS6FQICcnB3FxcZBK6//ecHBwEF5LpVKdaZlMBrVaDaAmjGoPTwwlkfx3XJe//mwqlUqYp8/Zs2fx4IMPQiaTQaPRCPMbCzGtVquz/z/PX7FiBXx9fet93/nz5+Hq6oqCggKDavuztm3bwsvLC8nJyXB3d4ePjw8UCgU6d+6sc0j818/8z/+3DS0bMmQIEhMTcerUKSQlJWHnzp3Yt29fk2tsCfWzBWSkO3fuoFu3bgCA+Pj4evsoTGXz5s04d+4cduzYofNLYaxp06YhMzMTSqVSmFdYWIjPPvsMTk5O6Nu3LxISEgDUHBJcvHgRgwYNavZ+09LSsG/fPsyePRv333+/EIJFRUV1zrZ88cUX+O2336BSqXDw4EGdP5pagYGB2Lt3L37//XcANa237OxsAMDevXtRXV2NAwcOYNeuXbhw4UKT6/X19cW2bdvg6+sLBwcHdO7cGQkJCQ0GnqFyc3Ph5OSECRMm4PXXX8fPP/+sE8amYgv1swX0J7GxsUhNTUVxcTFmz54NuVyO5OTketd9/fXXMW/ePHTq1AnDhw+HXC43S02XL19GXFwcevbsiYiICABAt27dsGPHDqO32alTJ3z44YfYsGEDtmzZAkdHRzg6OmLOnDkAgA0bNiAmJgZ79+6FnZ0d1q1bB1dXV6P2FRkZKZyGf+CBB7Bz504MHjwYPXr0QGRkJCZOnIiePXvW6ZN65JFHMH/+fOTl5eGRRx7BU089VWfbL730ErZv344pU6ZAIpFAIpFgwYIFuHv3Lj744APEx8fD1dUVsbGxePXVVxEfH9+kSxV8fX3xzjvvwMfHBwDg4+ODH374odH+M0N888032LNnj9AKXLVqldCqre0DquXh4YFdu3YZtR8x6m8qjohIVsdc1/qQ9eEhGBGJhi0gIhINW0BEJBoGEBGJhgFERKJhAJHZREdHY/PmzQ0u9/LyQk5OjgUrImvD64CoWQIDA1FcXAyZTAY7OzsMGTIEq1atavKtDw3Jy8vDhAkThOnffvsN7dq1E66M3rVrF7y9vU2yL7I8BhA1W1xcHEaOHIk//vgDK1euxJo1a/Duu++aZNtdunTBjz/+KEx7eXkhKSkJPXr0MMn2SVw8BCOTadOmDUJCQoTbIf5q9+7d8Pf3h7+/P+Lj43WWlZWVYe7cuRg6dCgmT56MzZs345lnnmlwX7du3cKgQYNQVlYmzDt37hx8fHyEWzAiIiKwZs0aDBs2DCEhITpDpty5cwdLly6Fv78/Hn30UWzevFm4V44shwFEJlNVVYWUlJR67xs7ceIE3n//fbz//vtITU3VCQMAWL16Ndq1ayfcZZ2YmNjovtzd3TF8+HAcPnxYmHfw4EFMmDAB9vb2AIAzZ86ge/fuyMrKQmRkJBYsWIDy8nIAQFRUFOzs7JCamorExERkZGRg//79zf0IqIkYQNRs8+fPh7e3N4YNG4aMjAy88MILddY5fPgwnnzySfTp0weOjo46w0yo1WqkpqbilVdeQbt27dC7d2+dwdIaMmnSJBw8eFDYRnJyss59VK6urpg5cybs7e0xfvx49OrVC8eOHUNxcTFOnDiBpUuXwtHREW5ubpg1a1aD9/2R+bAPiJptx44dGDlyJNRqNb788ks899xzdf6Yi4qK0L9/f2G6a9euwuvS0lKoVCqdjmtDOrGDgoKwYsUK5Obm4urVq3ByctK50bJTp046w3h06dIFRUVFyMvLg0qlgr+/v7BMo9GYrOOcDMcAIpORyWQYM2YMYmJi8P333+ss8/DwQH5+vjCdl5cnvHZ1dYWdnR0KCgrQq1cvANBZtyFt2rTBuHHjcPDgQfz66686rR+gZoiRP48llJ+fj8DAQHTu3BkODg7Iyspq0iiJZHo8BCOT0Wq1SEtLw+3bt/HAAw/oLAsJCUFCQgKuXLmCqqoqnaFGZTIZRo8eje3bt6OqqgrZ2dlISkoyaJ9hYWFISEjA0aNHMXHiRJ1lpaWl+OCDD1BdXY3Dhw8jOzsbAQEB8PDwgJ+fH9auXYvKykpoNBpcv34d33zzTfM/BGoSxj8129y5c4XREbt27Yq1a9cKj4WpFRAQgJkzZ2LmzJmQSCRYuHChzoBoMTExiI6Ohp+fH3r16oUJEybg3Llzevc9bNgwSKVS9OvXTxggrtbAgQORk5MDHx8fdOzYEVu3boWLiwsAYN26ddiwYQPGjx+Pu3fvonv37sJ4SGQ5vBuerNL69etRXFwMhUKhd90ZM2YIT/6odeDAAezfv9/kQ52SafEQjKxC7dCvWq0WZ86cQXx8PEaPHq33fWfOnMH58+eFQf/JtvAQjKzC3bt38dprr6GoqAhubm54/vnnERQU1Oh7oqKikJaWhmXLljVpqFWyHjwEIyLR8BCMiETDACIi0TCAiEg0DCAiEg0DiIhEwwAiItH8P8Vumt1NICV5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OrFIMdadmJYR9qMmalV0tcirJSgjrqje3gUIIYS5JVkIImyDJSghhEyRZCSFsgiQrIYRNkGQlhLAJkqxskMwUKuyRJCsbJDOFCnskyQrbqqnITKHCXkmywrZqKjJTqLBXdp+sbK2mIjOFCntl98nK1moqMlOosFd2n6xsraYiM4UKe2X3yapfvwA0Gg0AGo2mztdU3N3dGTBgMCqVigEDBsucVsJu2H2yCg0Nu+02ULGJmsq9TNwnhK2qU9Ma15b/JataDsRMpTOFCmFP7L5mtXHjOtTqkrdBrVbV+QZ2IeyV3SerQ4di0ev1AOj1+jrfwC6EvbL7ZGVrDexC2Cu7T1a22MAuhD2SBnZsr4HdVsTG7mXfvt0A5ORkA6DTlSyzNnBgIAEBg2orNGGD7L5mJQ3s1pGdnU12dnZthyFsmN0vxRURMYG8vDzjdoMGDfjkk39bO7R6LypqLoB0ubAzshRXDZKxdkLYBrtPVjLWTgjbYPfJSsbaCWEb5GkgJbWrpKQrUqsSog6z+5qVEMI2SLLCtqY1FsJe2X2ysrVpjYWwV3afrGxtWmMh7JXdJytbm9ZYCHtl98mqX7+A2/pZqaRTqBB1lN0nq8GDHzWZdSEo6FGrXNeWFlYVoi6w+2S1Z89Ok5rVDz/stMp15QmkEFVj98nq0KFYk5qVNdqs5AmkEFVn98mqNgYyyxNIIarObpNVbOxeoqLmkph40fg0UK/X07x5c4tfW55AClF1dpusSjk4OBrnYNfp3HBxcbX4NWVaGiGqzm4HMgcEDDJOq/vWW2+QlJREVNT7Vpl1ITQ0jP379wAyLY0Q5rJKzSo6OprAwED8/Pw4e/ascf+UKVMYPXo0oaGhPP3008TFxZVbXq/XM3/+fIKDg3n00UdZt25djcbn4OBI69ZtrDY9jExLI0TVWaVmFRQUxMSJExk/frzJ/ujoaBo1agTArl27mD17Nhs2bChTfvPmzVy+fJkdO3aQnZ1NaGgoffv2pUWLFtYI3yJkWhohqsYqNatevXrh4+NTZn9pogK4efOmsb/TnbZt20ZYWBhqtZomTZoQHBzM999/b7F4raF0CXipVQlhnlpvs5ozZw4HDx5EURQ+/fTTco9JTk42eUrn4+NDSkqKtUIUQtQBtZ6s3nnnHQA2btzI+++/zyeffGKxa1W0yoZWW/I2eHo2Kvd1ce/kPRb3qtaTVanQ0FDmzp1LVlYW7u6mt0Y+Pj5cvXqVbt26AWVrWuYqbykugMLCkj5P167dqEbkdV9dWGy0vr/Honz1YimuW7dukZycbNzevXs3Op0ONze3MscOGzaMdevWYTAYyMzMZNeuXQwdOtSa4dYbstiosFVWqVlFRUWxY8cO0tPTCQ8Px83NjS+++ILp06eTl5eHWq1Gp9OxYsUKYyN7REQE06ZNo2vXroSEhPDf//6XIUOGAPDyyy/TsmVLa4ReL9zep0wWGxW2yirJKjIyksjIyDL7//Of/1RY5va2K41Gw/z58y0SmxDCNtj9cBshhG2QZCWEsAmSrO6BzPYphPVIsroHMtunENYjyaqa7HG2T6lJitokyaqa7HG2T6lJitokyaqa7G22T3usSYq6RZJVNdnbbJ/2WJMUdUudGRtoa0JDw4zj7UBV7+elKq8mGR4eUctR1ay6MIZSVExqVtXk7u6Ot3czALy9m9X7eansrSYpYyjrHqlZVVNWVhZpaakApKWlkJ2dVa8Tlj3MGy9jKOs2qVlVk2kbjlLv23Bk3nhR2yRZVZO9PQ2EktqVn1/nelmrEnWfJKtq6tcvwLjeoEajqfdtOCDzxovaJcmqmkJDw0xuA6W2IYRlSbK6B/9LVrUciJXU1nAbGeYjQJJVtW3cuA61uuTtU6tVVW5gt8UPYG0Nt5FhPgIkWVXboUOx6PV6oGTF6Ko2sNvaB7C2htvIMB9RSpJVNfXrF2CcL16lUlWpgd0WP4C1NdxGhvmIUpKsqmnw4EdNGtiDgh41u+zGjSUr9QAYDHqb+ADWVlcNe+wiIsonyaqa9uzZabL9ww87KziyrHu9hayN9q7aGm5jb8N8RMUkWVXTwYP779jeZ3bZnj1737Hdp0rXro32rtDQsNtue6033Ka2rivqHklW1eTh0fSObU+zyxYWFppsFxUVVnBkWbXV3lVbw23c3d3p06cfAA8/3E86pNoxSVbVlJGRfsf2NbPLHj36k8n2L78cMbtsbTY41/ZwG3vpzybKJ8mqmrp18zfZfvDBHla5bm02ONfGcJusrCyOHDkEwJEjh2ziyamwDElW1XT58iWT7cTES+UeV56ePR8y2e7Vq3cFR5Zlbw3O0nVBlJJkVU0pKcl3bF81u6xW62Sy7ejoVMGRZdlbg7N0XRClJFlVU7NmPndsNze77J1tVkePmt9mZW/zStlbTVJUTJJVNbVq1cZku3XrNuUeV557nV5m8OBHcXZuUKWOqLbK3mqSomKSrKrp5MlfTbZPnDhudtnQ0LDbBkFrqvwB3LNnJ/n5eVXqiGqr7K0mKSomc7BXU79+Aezd+wN6vd7s2tHtq6c4OjpSVFSEq6srf//7ErNXT7mzn9WYMU/WqQ/wv/+9isTEi2X2lz6AKJ3b/HatW7dlwoRwk323v1eZmRk4ODiSmHiRqKi5stKMnZJkVU2lCyjo9fpq1Y4MBgWVSk3TpuZ3JoXyn47VpSWxEhMvcuZCPHg0NH1BWxLzmZwk0/0ZNys9540bN3BwcDC2XQn7JL/9aiq9Pdm9e6fZtyc1sXqKTazf59EQTUg3sw7Vx5wod7+sNCPuJG1W96A2enTL0zFhryRZ3YPa6NEtT8eEvZLbwHuQlZXF8uVLmDr1VasO7K3q7aeov+xpyXtJVvdg7dovOXPmNGvXruHFF6da9FrydExUpnS5+9JkVd9IsqqmrKwsDh2KBUrmtho7drzVajnydEyUsqcHEfLXXk1r135529TEBovXruzpj1KI8litgT06OprAwED8/Pw4e/YsUFI7iYiIYOjQoYwaNYqpU6eSmZlZbvnXX3+dAQMGEBISQkhICP/85z+tFXq5Dh8+YLJdWssSQliG1ZJVUFAQa9aswdfX17hPpVLx/PPPs337djZv3kzLli354IMPKjzHCy+8QExMDDExMbz00kvWCLtCpXOoV7QthKhZVrsN7NWrV5l9bm5u9Onzv/nHu3fvztdff22tkKrl9obu8l6Thm5haTU1pMnW1Jk2K4PBwNdff01gYGCFx6xatYq1a9fSsmVL/vrXv9K+fXsrRmiqcePGXL9+/bZtXa3FIuxLYuJFLiVcwsetlcl+V4eSv8GCDIPJ/uTsy1aLzZLqTLJasGABLi4uPPPMM+W+/uqrr+Lp6YlarWbjxo08//zz7Nq1yzjVijk87hyv9gettuRt8PRsVOk5Hn98FI8/PoqMjAyefvppoOR29uOPV9CkSROzY6nKNetK2aqcv6pl7haPpWOuK9c0l1brgI9bK14cNMes4z/e+06l77EtqBPJKjo6msTERFasWGGcOuVO3t7exn+Hhoby3nvvkZKSYtIGVpmMjJsYDGVXHSgsLBlrd+3ajSpErTXWrh55ZCB6vWOVylfvmrVbtirnr2qZu8Vj6ZjryjXNdS/vcWzsXv71r8//2FdQYVurRqMxzmg7ceKkajdvqNWqCisJVT5XjZzlHixZsoRTp06xfPlytFpthcelpqYa/x0bG4tarTZJYLXBy8ubBg1cGDt2fK3GIYQ9sFrNKioqih07dpCenk54eDhubm589NFHrFixgjZt2jBu3DgAWrRowfLlywEICQlh5cqVeHt7M2vWLDIyMlCpVDRs2JB//vOftd4p0sHBkdat28iQF2FVOTnZZGVn8fHed8w6Pjk7EXeHkr/R2/vr2RqrfdojIyOJjIwssz8+Pr7CMjExMcZ/r1692hJhCSFsRJ1osxJCmE+nc8O5uHGVGtiddLXe4nPP7CpZbdiwjpMny072VlH/lPrQN0WI+sKuklVS0u9cPn+OVjrTLgZumj/ehmsZxn2Xc8of9mMr7LXjoKi/7CpZAbTSNSEyYEilx0XF7rBCNJaTmHiR8wmnaXxH1y+1Y8n/07JOm+y/XkFutqf5kmxJcvblMg3sN/JzAGjkrCtzbBuPNtYKzWLsLlnZk8ZNoO9Q8449vL3yY+r7fEm2onXrtuXuT0ksSVZNPUyfTrfxaFNhGVsiyUrclUxNU/dUdKte338/kqxEjcrJyYaMmxWuWlNGxk1yyLZsUKJesP3nmUIIuyA1K1GjdDo3krlVpXUDpQ1MmEOSlRA27PantXd2S6lvT2slWQlRT7i51e8aqiQrIWyYLQ9MrippYBdC2ARJVkIImyDJSghhEyRZCSFsgiQrIYRNkGQlhLAJVU5WycnJ/Prrr5aIRQghKmR2srp69Srjxo1j+PDhhIeXjPr+/vvvmTPHvKlVhRDiXpidrObOncugQYM4duyYcVWZ/v37c+jQIYsFJ4QQpcxOVidPnuSFF15ArVajUqkAaNSoETdu1L1FIIUQ9Y/Zw208PDxITEykbdv/zTh4/vx5fHx8LBKYJdy4cZ3EnEyzpixOzMnETWv+0vRCCMsyO1lNmjSJyZMn88ILL1BcXMyWLVv4+OOPiYiIsGR8wo7IIhfibsxOVk8++SRubm6sXbsWHx8fNm7cyPTp0wkODrZkfDWqUaPGtK7KghEyz5JVJSZe5MyFc+Bxx/v+Rw33TM410/0ZMsOoPanSrAvBwcE2lZyEDfJww2HUILMOLd6816KhiLrF7Ab2qKgojh07ZrLv2LFjvPPOOxWUEEKImmN2stqyZQsPPPCAyb4HHniALVu21HhQQghxJ7NvA1UqFYqimOzT6/UYDIYaD0oIa5FGfdthdrLq1asXH330ETNnzkStVmMwGFi2bBm9evWyZHxCWFRJo34Cao9mJvsVbQMAzubcMtlvyEixWmzClNnJas6cObz44os88sgjNG/enOTkZDw9PVmxYoUl4xPC4tQezXAeNdGsY/M3/8vC0YiKmJ2smjVrxoYNG/jvf/9LSkoKPj4+dOvWDbVaJm4QQlhelbouqNVq/P39LRWLuIO0pwjxP3dNVsOHD+e7774DYODAgcYxgXfau3dvjQcmStpTLiScLttH8o/fWk7GaZP90kdS1Gd3TVYLFiww/nvRokUWD0aU5eEGI4PK/5K405YflMoPEsJG3TVZlT7p0+v1rF+/ngULFqDVaq0SmBBC3M6s1nGNRsPBgwcrvA0UQghLM/tR3p/+9CeWLVtGUVGRJeMRQohymf008MsvvyQ9PZ1Vq1bRpEkTk1qWNLALISzN7GR1rw3s0dHRbN++naSkJDZv3kynTp3Iysritdde4/Lly2i1Wlq3bs3bb79NkyZNypTPy8vjjTfe4LfffkOj0TBr1iwGDx58TzFZg3Q/MF9OTjZkZJs/m0JGNjk4WjQmUXeYlawOHDjAuXPn6Ny5Mw8//HC1LhQUFMTEiRMZP368cZ9KpeL555+nT58+QElC++CDD3j33XfLlP/ss89wdXVl586dXLp0ifHjx7Njxw5cXV2rFY+1JCZe5GLCaZrpTNv7XDQlT+7y0uNM9qfk1MwTvZycbK5nwuHt5h1/PROc1PWj70Ns7F727dsN/JEAAd0fc5MNHBhIQMCg2gpN3INKk9XKlSv5xz/+QYcOHVi6dCkzZswwSTjmKm8MoZubmzFRAXTv3p2vv/663PLfffcdCxcuBKBNmzY88MAD7N+/n+HDh1c5lqq619pRM52K8IHmVWJX7SuufqA2TqdzI5miKs1npatkgsTsbNNkJWxXpZ+gtWvXsnr1arp3787Ro0eZO3dutZJVZQwGA19//TWBgYHlvn716lV8fX2N2z4+PqSkWGdQaWLiRRLPn6GVztlkv05TkliUa5dM9l/OybdKXHej07lRYLhK36HmHX94e/35QAcEDDLWnkq/SCIj367FiERNqDRZZWVl0b17dwB69uxJenq6RQJZsGABLi4uPPPMMxY5P4CjY5VGF6HVOuDp2Qit1oFWOmde79+28kLAwoMXTcrmVTHO28tWVU2UvdvrgFnHVOe6tRGzJa4pLMOs35SiKOX+V+peBzNHR0eTmC5TiAQAACAASURBVJjIihUrKjxX8+bNSUpKMja+Jycnm9xCmqOoqJjL5axuk1NQkk50Tg2M+y7nZNLK04Nr125QWFj1W7PCwmKbLVvZbe/06a+Wea30tre2Yr7b60CFx1jimuJ/1GoVHh4Na+RclSar3Nxc7r//fuO2oijGbUVRUKlUxMXFVVS8UkuWLOHUqVOsXLnyrr3jhw0bxtq1a+natSuXLl3i5MmTfPjhh1W6lq9vSzI7ZJXZn/3Hh1Dn6WHc18rTg9atzatJ1TeJiReJv3AaRw/T/fo/fj0XckzHJBZlWCkwYdcqTVY//PBDjVwoKiqKHTt2kJ6eTnh4OG5ubnz00UesWLGCNm3aMG7cOABatGjB8uXLAQgJCWHlypV4e3vz3HPP8frrr/Poo4+iVqt5++23adiwahl7zJgwQkKeLCc2ade4k6MHNA0xb8RCeoyMSRSWV2myur1RG0oawtPT0/Hy8qrShSIjI4mMjCyzPz4+vsIyMTExxn+7uLiwdOnSKl1TCFF/mN3YdP36df7617/SrVs3hgwpWXfvhx9+YMmSJRYLTgghSpmdrObNm0fDhg3ZvXs3jo4lvYb9/f2N810JIYQlmf3c9vDhw8TGxuLo6GgcF9ikSRMyMqR11VJycrLJyDZ/nqqMbMChfvRCF+JOZtesGjVqRFaW6ZO0q1ev4unpWeNBCSHEncyuWYWFhTFt2jT+/Oc/YzAYOH78OIsXLzY+xRM1T6dzg+KrVZoptL70QhfiTmYnq4iICLRaLW+//TbFxcXMnj2bsWPH8qc//cmS8QkhBFDFFZmfffZZnn32WQuGI+xeeVPE5P4x1tLFucyx6O6tGSInJxtDRobZ6wEaMlLIwaPyA0WNu2uyOnz4sFkn6du3b40EI+xbRSMGErMvlbzuc0di0nna7SgDe3TXZDVnzpxKT6BSqWqsl7uwbxVNOGjJEQY6nRupOFZpRWadrm7PoVZf3TVZ7d6921px1Gk5Odlk5+Sz8GDZwb3luZyTj5s221g2M1sxe56qlGyFJo7S/UCIO8na70IIm2B2A/vNmzdZtmwZP//8M1lZWSZTxNT3BSN0OjcaF2ZXaT4r1R9dCHQ6N7RFyVWaKbSBdD8Qogyzk9Vbb71FamoqU6ZMYebMmSxatIjPPvuMoUPNnIpSWF15c7D/MXUXt03dZTzWy906cQlRHWYnq4MHD7Jt2zbc3d3RaDQEBwfTtWtXJk+eLN0Z6qAKn6xdvwSAV/M2Jvu93CsuYwuqO0++sB1mJyuDwUCjRiVTubq4uHD9+nU8PT1JTEy0WHCi+mrjyVptSky8yJkL51F5mPaBUrQlg+7jc0yHiikyptXmmJ2s7rvvPn7++Wf69u1Lz549mT9/Pq6urrRp08aC4QlhPpWHB44jR5t1bNGWTRaORtQ0s5NVVFSUsVH9zTff5MMPP+TGjRu8//77FgtOUO6sC3ft0C2dq0U9VWmyOnXqFFqtlk6dOgGQmZnJO++8w9mzZ/H398fHx8fiQdqritpUSueM9/FoY7Jf51Ez7TA5OdkUZZg/XXFRBuQgfcOEZVWarN59912mTp1qTFZz5swhLS2NcePGsWXLFhYtWsRbb71l6Tjtkr21OwlxN5Umq4SEBONqytevXyc2NpbNmzfTtm1bAgMDGTdunCSrekancyODq1VaMEKmphGWVmkPdr1eb5zG+Ndff6Vp06a0bVtyq+Hj48P169ctG6EQQmBGsurQoYNxnvVt27aZzLCQmppq7M4ghBCWVOlt4IwZM3jppZd46623UKvVfPXVV8bXtm3bRo8ePSwaoBBCgBnJqlevXuzZs4dLly7Rpk0bk4VFBw4cyGOPPWbRAIUQAszsZ9WwYUMeeOCBMvvbtWtX4wGJeiDjJvqYE6b7cgtL/u+iLXMsOuuEJWyb2Z1C7d3lcuazyikomaNK5+RQ5tjWdrroT+WzfZqu8I1OxugJ80iyMkNFH6acPzpnunm2MT3e034/gNI3TFiKJCszyAewfjNkpJRZMELJvQmAyqVhmWPRtbdabOJ/JFkJu1bxbeu1ktd9vE1f0LW321pzbZNkZQUpOWXnYL+ZXzLurqGzqsyxbZtaLTS7J7Vm2yHJysIq+hZO+6O9y7NpG5P9bZvab3uXEHcjycrC5JtbiJohyUqUq7wpYvS5Jf/XuJQ9VvpKCUuTZCXKqLyvVBvTF6SvlLACSVaiDFu8dc3JyUbJyDB7umIlI4MczJsCR9QNssipEMImSM1K1As6nRspKFVaMEImDKya2Ni9/OtfnwNQWFiAXq8v9ziNRoNW6wTA5MkvM2xYcI1cX2pWQgibIDUrIYRZAgIGERAwqEpl1Oqaaxe0Ws0qOjqawMBA/Pz8OHv2bKX777Rs2TL69u1LSEgIISEhzJ8/3xphCyHqCKvVrIKCgpg4cSLjx483a395QkNDmTVrlqVCFELUYVZLVqUr5Ji7X9i32Ni97Nu3G4DEP4YmlXadGDgwsMq3I3VNdRqrJ06cZPM/972wqTarrVu3cuDAATw9PXnllVfw9/ev7ZCEFbi5yVM7YUPJaty4cUyePBlHR0cOHjzIlClT2LZtG+7u7mafw8OjYbn7tdqSt8HTs2or9VS3nJSt3OOPj+Lxx0dV+fxVjamieO7lZzVHVX8+YUPJytPzf/ME9+/fHx8fH86dO0fv3r3NPkdGxk0MhrJLohcWlkzfcu3ajSrFVN1yUrbmlZ6/qmUqisfS8doLtVpVYSWhyueqkbNYQWpqqvHfcXFxJCUlGRdbFULUf1arWUVFRbFjxw7S09MJDw/Hzc2NrVu3VrgfICIigmnTptG1a1cWL17Mb7/9hlqtxtHRkffff9+ktiWEqN+slqwiIyOJjIw0ez/AJ598Yvx3dHS0xWITQtR9NnMbKISwb5KshBA2QZKVEMIm2EzXBVF99b03uLAPkqzsjPQGF7ZKkpUdqM7UHkLUNZKsxF3VhVvIrKwsli9fwtSpr+LmZv7wKlG/SAO7MJubm1ut3EZu3LiO+Pg4Nmz4xurXFnWH1KyA/Pw8EhMTuXz5Eq1atantcOqU2r6FzMrKYt++3SiKwr59uxkz5skKa1flrW6j5JYsdqhycSlzLDqppdkSu01Wt9/eXLp0EYC33ppNePgL0r5Th2zcuM4415NeX8yGDd8QHh5R5riK1zrMKXnd547EpHOXtQ5tjN0mq1L5+XnGfxcWFpKRca0WoxF3OnhwP4pSMlOGoigcPLiv3GRli2sdiqqx22RVensza9afTfYfPnyI0NCwWoqqYnWhobs2eHg0JSnpym3bMnjdXtltsip1+wehZPv3WorEfPbUVyojI/2O7bpZ8739yyQnJxvAuC5hff4ysSa7T1a+vi1MEpavb8tajKZitd3QXVv69x/A7t07URQFlUpF//4DazukSmVnmyYrUTPsPlk980w40dELjNsTJ5bf9iFqR2hoGPv376GoqAgHBwfGjHmytkMq1+1fJtJOZhl238/ql1+OmGz/9NORCo4UtcHd3Z0BAwajUqkYMCBQOoXaMbuvWR06FHvH9v5ynzaVsteG7toUGhpGUtKVOlurEtZh9zWrfv0CcHAoydkODg706zfA7LK11aPb3ri7uxMZ+bbUquyc3desSttEAFQqdaXf3vba0C1EbbP7mpVpm8hg+fYWoo6y+5oVSJuIqJ5//3sViYkXy+y/sy3zdq1bt62wt724O0lWwmLq+8OIxMSLnL1wEScP0755xdrGJa/nmC68WpBR9zsc12WSrDCdguRuTwJF9dXXBxFOHi1pFfKaWcdejnnfwtHUb3afrLKysti/fw+KorB//567TkEiqkYeRoiaZPcN7Bs3rrttVL9BJngToo6y+2R16FAsxcUlbQvFxcUcOrS/liMSQpTH7pPVvXQKzcrKIipqLtnZWZYKTwjxB7tvs6pqp9DbrV37JWfOnOb//m8NkydPtVSIoo7KycmmICPL7IbzgozfyUHaQ6vL7mtW1e0UmpWVxcGDJbeMBw/ul9qVEBZm9zUrqF6n0LVrvzRpmJfalf3R6dzIpmGVui7odPKRqy67r1lB9QbKHj584I7t2AqOFELUBElWQgibIMmqmjw9vUy2vby8aykSIeyDJKtqurNBPSsrs5YiEcI+SLKqpv79B9yxXfcXMhDClsmjiWoKDQ1j794f0Ov1aDTmLWRQ32chsEcFGb+X6WdVnHsdAAeXxmWORSerQFeXJKtqcnd3p1kzH5KSrtCsmU+VBz/X11kI7EnFS9aXJKvWPk1MX9C1lSXr74Ekq2rKysoiLS0VgLS0FLKzsypNWDILQf0iS9Zbl7RZVZPpbA1KlWdrkHGFQlSNVZJVdHQ0gYGB+Pn5cfbs2Ur330mv1zN//nyCg4N59NFHWbdunTXCvqt7na3h9nGFQojKWSVZBQUFsWbNGnx9fc3af6fNmzdz+fJlduzYwdq1a1m2bBlXrly5axlLu9fZGmRcoRBVY5Vk1atXL3x8fMzef6dt27YRFhaGWq2mSZMmBAcH8/3331siVLOFhoahUqmA6s3WcOe4QiHE3dlEA3tycjLNmzc3bvv4+JCSklKLEf1vtobdu3dWeQmv8sYVyiBo2ybdUizPJpJVTfHwaFij53vuuWdJS0vm+eefpUmTRmaXK62R3b7t6Wl+eWE+rbbkT7yq729VyzVq5Gws4+HRxOQcjRo5y++3BthEsvLx8eHq1at069YNKFvTMldGxk0MBqUGI9Mya9Y89Hq4du2G2aUefrg/Bw7sM2737ftIlcoL8xUWljwEqer7W9Vy3bs/TPfuD1f4ur3+ftVqVY1VEmwiWQ0bNox169YxZMgQsrOz2bVrF2vW2G47z9ixz3DoUCwGgwG1Ws3YseNrOySB3MrVdVZpYI+KimLAgAGkpKQQHh7OiBEj7rofICIigpMnTwIQEhJCixYtGDJkCP/v//0/Xn75ZVq2bFnutWyBu7s7vXr1AeChhx6Wpb/qIDc3NxllUMeolNLHUnag5m8Dq2/FimUcOLCPRx4ZJI3rFiS9yWtXTd4GSg92rN+bPCsriyNHDgFw5Mgh6WclhBkkWWG6fLy1ricLqwpRNXafrO5cPt4atRxZWFWIqrOJp4GWVF4tJzw8wqLX7NcvgH37dlNcXFzloTqicvJUr36y+5pVbdRyQkPDbttSVWmojqgaeapXf9h9zapfv4DbZvzUWKWW4+7ujrd3M5KSruDt3Uy6LtQwmTesfrL7mlVoaBgGgwEAg0GxSi2nvIn7hBB3Z/fJCrht9gTrXO9eJ+4Twh7ZfbLauHHdbclKZZXEIU8Dhag6u09Whw7FotfrgZIZSa2ROO5l4j4h7JXdJ6vaSBz3MnGfEPbK7pNVbSSO0on7VCpVlSfuE8Je2X2yqq3EERoahp9fZ6lVCWEmmXWBkq4Ey5cvYerUV6WWI0QNqslZFyRZCSEsRqaIEULYHUlWQgibIMlKCGETJFkJIWyCJCshhE2QZCWEsAmSrIQQNkGSlRDCJkiyEkLYBElWQgibIMlKCGETJFkJIWyCJCshhE2QZCWEsAmSrIQQNkGSlZ3JysoiKmqurFUobI4kKzuzceM64uPjZK1CYXMkWWE/tY2srCz279+Doijs37+n3v+8on6RZIX91DZMV4I21PufV9Qvdp+s7Km2IStBC1tm98nKnmobshK0sGV2n6zsqbYhK0ELW2b3yapfv4DbPsCqel3bkJWghS2z+2Q1ePCjt90GKgQFPVrLEVmWrAQtbJXdJ6s9e3aa1Kx++GFnLUdkWe7u7kRGvi21KmFzrJasoqOjCQwMxM/Pj7Nnzxr3X7x4kbFjxzJ06FDGjh3LpUuXyi2/bNky+vbtS0hICCEhIcyfP79G4jp0KNakZlWf26yEsGVWS1ZBQUGsWbMGX19fk/3z5s3j6aefZvv27Tz99NPMnTu3wnOEhoYSExNDTEwM8+bNq5G45AmZELbBasmqV69e+Pj4mOzLyMjg9OnTjBw5EoCRI0dy+vRpMjMzrRWWPCGr5+xldII9qNU2q+TkZLy9vdFoNABoNBq8vLxITk4u9/itW7cyatQoJk2axPHjx2skhtp6QiYfIuuwl9EJ9sChtgMw17hx45g8eTKOjo4cPHiQKVOmsG3bNtzdzU8uHh4Ny93/3HPPkpaWzPPPP0uTJo1qJuBK/N//rSY+Po7vv4/hlVdesco17U1GRgaxsXtRFIXY2D1//H6b1HZYoppqNVn5+PiQmpqKXq9Ho9Gg1+tJS0src7sI4Onpafx3//798fHx4dy5c/Tu3dvs62Vk3MRgUMp5RcusWfPQ6+HatRvV+VGqJCsri+3bt6MoCtu372DYsBB5OmcBq1atxmAwAGAwGPj009WEh0fUclT2Ra1WVVhJqPK5auQs1eTh4UHnzp3ZsmULAFu2bKFz587lfvulpqYa/x0XF0dSUhJt27a1Wqw1yZ6G+NQmexqdYA+slqyioqIYMGAAKSkphIeHM2LECADeeustvvzyS4YOHcqXX35p0iUhIiKCkydPArB48WJGjhzJ6NGjiYyM5P333zepbdkS+RBZhzzprV9USulXvB2o+DbQulatWsm+fbspLi7GwcGBgQOD5PbEArKysvjLX6ZQVFSEo6OWJUuWy+22ldWb20B7Jd0lrEPGQtYvkqxqgXyIrEfGQtYfchtYS7Kysli+fAlTp74qyUrUWzV5GyjJSghhMdJmJYSwO5KshBA2QZKVEMImSLISQtgESVZCCJsgyUoIYRMkWQkhbIIkKyGETbCZyfdqglqtqu0QhLArNfmZs6se7EII2yW3gUIImyDJSghhEyRZCSFsgiQrIYRNkGQlhLAJkqyEEDZBkpUQwiZIshJC2ARJVkIIm2CTw22ee+45Hn30UcaNG2fcpygKQUFBtGjRgmnTptGrV68y5QIDAyksLGTfvn1oNBoA1q9fz+zZs3nzzTd55plnuHLlCk888QRHjhxhyZIlnDhxgqysLK5fv05eXh6ZmZls2bKFjh07AvDiiy8SHBxMWFgYfn5+HDt2jM8//5zU1FS++eYb1q9fz7p16/j5559Rq9UkJiby5JNPkpSUxNWrVwFwdHTE29sbV1dXCgsL6dixI1999RVeXl7Ex8ej0Who2bIlAL169WLevHk4OjqW+/P1798ftVptXCx2z549TJ48GRcXF1q1agXA77//TkREBC+99JKx7JYtW5g5cyaTJ09m27Zt3Lp1i5ycHFxdXdHpdAQGBjJr1iyT9+dOqampBAcH4+vri1arxWAw8NJLL1FQUMDevXtZunRphb/Tb7/9lg4dOjB+/HjGjRtHcHAwL7zwAm3atAEwnuuxxx4DYMKECUyaNInBgwcbf/YVK1bQqVMnzpw5wzvvvMOVK1dIT09Ho9Hg6elJt27d2LFjB2q1GkVRaN68eaXvZ+k573TixAkWLVrETz/9hJubG506dWLatGk89NBDFf6MFbnzZwH47rvv+Pjjj8nPzyc5ORmtVounpye3bt3i//7v/xg/fjzu7u5MnTrVpNzdlJ5TURQKCgro0qULH374IUVFRYSHh5OWloajoyMGg4GBAwcSEBDAlClTKvwd3O39MUdVy9tksnriiSdYvXq1SbI6cuQIDg4O/Otf/7prWU9PTw4cOMDAgQMB2LhxI126dCn3WD8/P1auXMnu3bv529/+RnJyMpmZmfz000907NgRvV7P0aNHiYyMrPB6mzZtIjs7m02bNqHRaAgNDeXo0aM8+eSTTJgwASj5kC9cuNCkXGhoKLNmzcLf358ePXqgUqn4+OOPGT9+PDt37jT+wUDJH1HpOoRdu3Zl1apVxtd++uknWrZsScOGDdm4cSN6vZ4+ffowcuTIMrEqisL58+d5++23efPNN9m0aRM7d+5k+PDhxsR6N97e3nh6erJ06VI6derE6dOnGTduHNOnT6+07IYNG2jbti3du3dn69atDBo0iPbt2/Ptt98CcP78ecLCwhg2bBhq9d1vCP76178SERHBwoUL2bFjBwUFBTRt2pTff/+dHTt2kJ+fz3333ce3335b6ftZnvj4eF588UWGDRsGQEJCAvPmzSMhIaHSn9McaWlpzJ8/nw0bNvD888+zZMkSfHx86Ny5M35+fsZVpqt7Th8fHxRF4cyZMwC88cYb/Pzzz8TGxuLl5UVRURHffvsthYWF1f4dWIJNjg0sLCwkICCANWvW0KFDBwBee+012rVrx8GDB43fUq+//jparZZLly6RkpJCWloar776KocPH+bUqVN88cUXzJo1iw4dOnDq1Cmee+45jh07xvr16+nYsSNNmzblwIEDLFy4kPfee49bt27RrFkz3N3d+ec//8lTTz3F77//jrOzM126dOHo0aO0aNECvV6Pl5cXJ06cYMSIEbi7uxsT2uOPP87169d58cUX2bx5M2fOnKGwsBAnJyfat29Pw4YNOX/+PLm5ufTo0YMDBw7QrVs3vL29UalUxMbG4uzsTFpaGhqNBjc3Nxo1asSyZcsIDQ0FoKioCAcHBxo3bkyzZs3o1asX//nPf3jyySc5efIkp0+f5tdff6V///5kZ2ejUqlo3LgxOTk5/PTTT/z0008sWLCAxo0bo1arcXFxITAwkB07dpCamkpaWhpNmjQhPz8fjUZDly5d0Gq1nD9/nqtXr/LRRx/x9ddfG79APDw8uH79Or6+vuTn5+Po6Mj169cpLi6mYcOG5Ofnk5GRAWBMrAkJCbi7uzN37lyioqLIycmhoKCAhQsXsn79eo4fP25c0Vqr1aIoCjNmzGDt2rXEx8fTrl07MjMz2b17Nw0aNGDJkiVs27aNy5cvA6BSqdBoNDRu3BhPT086dOjAjz/+iKurK1euXEGn01FUVMTf//53vvrqK37++WdycnLQ6XS4uLhQUFBAXl4e7u7uZGZm0rNnTz799FO2bt3Km2++SW5uLlCyRuTHH3/MokWLaNGiBTExMbi6uuLo6Ejjxo354IMPmDx5MsXFxRQUFKDT6Xj44YfZtWsXXbp04ZdffsHLy4tWrVrh4eHB1q1bcXR0pLi4GD8/PzIzM8nOzqaoqAiA4cOHExQUxLx587h16xY6nY7c3Fw0Gg0ajYYDBw7QoEEDLly4wLvvvktKSgrnzp0DoFOnTqjVav7973/z8ssv079/f3bs2MG3337LhAkTGDRoEKtXr+abb74hKiqK3bt34+vryxNPPMGwYcOYM2cO8fHxFBQU4OnpycCBA5k7dy7Hjx/n/fff59atW8bP6iOPPGJSs/r888/Zt28ff//732nUqFG5n3ubbLPSarWMGjXKmPFv3rzJrl27GDNmTJljz507xyeffMKWLVsoKirC2dmZS5cu0b17dz788ENCQ0PJzc0lOTmZK1eu4OrqSqNGjYiJicHPzw8nJyfefvttGjRogJOTE2vXruX69esUFRVx7do1goKC+OWXX7hy5QoAq1at4oknnqCgoACA48eP89VXX9GtWzf69OnD2bNnGTFiBPPmzePMmTM0bNiQ9957j8LCQpKSkoiLi8PX1xeVSsWlS5coKCjgl19+4fTp03z33Xfo9Xr0ej3PPPMMiqLg7++Pn58ff/vb33B2dubrr7/Gw8MDvV5vfG/8/PzIz8/nm2++ISkpiaZNm7JmzRpu3LjBzp07OXXqlPHDpdPpyMzM5MaNG2RnZ9OxY0d8fX25ePEir732Gm3btgWgffv2fPTRR6jVao4fP87ixYtZvXo1AF988QWffvopAMXFxYSGhtK1a1cSExNp1qwZbm5uFBcXoygKnp6eDBo0CChJIGvWrCEoKAgHBweuXbvGX/7yF7KzsyksLOSDDz5g9erVDB8+HIPBQNu2bXF2dmb69OncvHmT6OhoPvjgA/7yl7+QmJhITk4ODz/8MKGhoaxfv57Vq1ej1WqNf0NarZYbN27g5OQEwI0bN+jYsSM9e/Zk7ty53Lp1i3feeYf09HQMBgNRUVFs27YNlUpFeno6xcXF7Nixg/nz51NcXAzAggULKCoq4rPPPuPIkSNotVpeeOEFDAYDiYmJ6PV6FixYgIeHB/7+/jz77LN4eXnx8MMPM3r0aIYNG8bu3bvx8vLiyJEjtGzZkmvXrhEXF8ePP/4IwMGDB9FoNOTn55OVlUXLli05cuQIrq6ubNu2jR9//JH7778frVZLYWEhhw4dQqPRkJuby6BBg5g6dSrh4eG8/PLLTJkyxXgb9t577xETE0Pjxo2Nn5+EhARCQkI4ceIES5YsYc6cOcyYMYMHH3wQb29v/v73vxMWFsaMGTPQ6/WMHj2ab775hps3bzJ+/Hiys7OZOnUqM2fOZNOmTWzYsIGuXbsaz1/6vv7222988sknFSYqsNFkBfDkk0+yadMmiouL+e677+jZsyfe3t5ljgsODsbJyQmtVoujoyPJyckMHz6cli1bcuDAAUaMGMGFCxfo3r07+/btY9euXVy/fp2QkBD27NlDy5YtGThwIA0aNECtVjNmzBiaN2/Od999h8Fg4LfffjPWlgA8PDyAkltIgBUrVnD8+HH+8Y9/8PTTT6MoCvHx8bi6uuLj40Pr1q2ZPXs2bdu2pWvXrmRmZnL//fcTGhrKtm3bcHZ2ZuDAgTg5OfHYY4+h1Wpp3rw5jRs3xtfXly5dunD48GGOHDmCs7Mzzz33HDdv3kSj0XD9+nWaN2+OWq3GycmJsWPH8sADD/DKK6+wc+dO3N3deeWVVxgzZoxJtf7gwYPMnTuXf/zjHzzwwAPExsayefNmpk2bxi+//ALAqVOnjO0dKpWKRo0aGdsBExMTCQsLA6Bdu3YUFBTg5uZGUVERY8eO5erVq7Rt25aWLVvy+++/89prrwHQrFkzfvzxRwwGA3q9HgcHB8LCwtDr9YwZM4Z58+Zx9uxZunXrhlqt5sUXX+T+++/H19cXBwcHXF1d6dChAxERhPeSBQAADf1JREFUEezatQuA3r17Ex8fj0qlMmk2aNu2LT/++CMNGjQgOTkZKEnUo0ePRqVS0aBBAxwcHDh37hzt27fn1q1bjBkzhiZNmhgTXr9+/dBoNAwZMoTTp0+TmpqKwWDAYDAQFxdHamoqY8eOpbi4mPz8fIYMGYKLiwvDhg3jscceM9bUXV1dGTZsGA888ACpqal06NCBgIAAevbsyYQJE3jwwQfJz8+nYcOS9fdOnDiBo6MjBQUF6PV6Jk6ciE6nw8/PD61Wa/zAu7i4kJubi1arxc/PD51Ox7vvvkuHDh1IS0vjmWeeITo6msTERAAuXbpU5vPTvn17YmJi6NatG7Nnz2b+/PkcO3aMZ5991niMVqslLi6OCxcu8Nxzz9GpUyc6d+5MYmIiv/76K+3bt6dHjx4AaDQadDqdsezs2bNRFIUPPvjA+L5WxGaT1X333YenpyexsbGsX7+eJ554otzjSr81oeSb22Aw8Pjjj7NhwwacnJy4cOECly9fpkePHiiKwvTp02ncuDExMTF89913REZGEh8fj4ODA0FBQTRq1IimTZuydetWioqKWLVqFZs3bzbejlYUwyOPPML06dNp1aoVhw8fRqVS0bRpU8aMGcNLL71EampqheXbt29PXFwcxcXFeHl5GY8tbQwtdfPmTVq0aIG3tzeOjo64urrSunVroOQPKiUlhaNHj9KnTx/S09PJzc1lzZo1bN68mW7dugGQk5NjfK+6detGeHg4vXv3RqPREBAQwFNPPYWbmxu//vormzZt4sknn+TOloSwsDBiYmKAktug29uAHB0dGTBgAKmpqVy7do2AgADjz5Cdnc1bb71lrJWp1WoeeOAB3N3d6dixI/n5+cYazO1Kz317O5OXlxdqtZolS5bQoUMHmjdvTqNGjUzeLycnJ9zd3cnNzUVRFDQaDU5OTsZasUqlQqVS8d///tf4b4DOnTsDcPToUQIDA3nssccoKipiw4YNeHh40LhxYxwdHZk+fTqnTp0yibX0A6koCiqVyrjt5OSERqNBr9ej0WgwGAx4eHgwfvx41qxZg4uLC+3btwdg165dJj9r6d+4RqNBpVIZHxaUHlNcXGx8rWXLlowYMQJvb29at25NRESE8Yvq9oZ6jUZj8nstKCjAx8eH5s2bl/l9V0SlUlV67EMPPcSxY8fIzMys9Hw2m6ygpKF92bJlXLp0icDAQLPLtWzZkldffZVnn32Wv/zlLzRp0sT4xGvdunXGN/jixYukpKSQlJRESkoKDRo0IDMzk379+nH58mUURUGtVpOammq87y9908+ePQvAb7/9Rnp6uvHaeXl5NGzYkIceeggHBwc2btzIsWPHyM7O5tSpU3h4eBAXFweUPLUrKCggKSkJNzc3HB0dKSwsJCcnx3j/f+zYMfr160fv3r0pKiqib9++PPXUU+Tl5ZGTk0O7du2Akj/on3/+mcaNG9OiRQs6depEXl4e2dnZZGdnc/z4cQDmzp1Lx44d+fzzz8nJyeGLL76gffv2FBQUEBAQwM6dOzEYDJw5cwa9Xm9sa6qKiIgIUlJSyMjIoH///kRHRwMwdepUXF1dadu2La+99hrFxcUsXryYAQMGMGzYMGMN7uTJkxgMBj755BPi4uJITk6muLiYmzdvkpCQwK5du/j8889p3bo1jo6OKIrC5cuXycjIMCad0hrQjRs30Ol0pKWlAXD16lXj+w/QqlUrOnbsiFqtZs2aNWRmZtKkSRMA2rRpww8//MDu3bt5/fXX+fe//0337t3Jy8ujU6dODBs2jMOHD+Po6IizszO7du1CURRyc3P5/vvvjUnvToWFhVy7dg0oSUxXrlwhLy/PWLtv2rSp8VgXFxdiY2ON5QoLC01us24/Z2m7Vtu2bXFwcCAlJYUePXoQGBiIRqPh4sWLAOj1evLz84mPjwdKGtbj4uLIzs7m8uXL3HfffcZb/tJzd+7cmXbt2vHZZ5+RkJDAmTNnaNWqFf7+/iQkJBj/vvR6vfELEUo+w+Hh4Tz77LN3/cIGG30aWGrUqFG8//77jB07ttIq5J3Gjh1LYWEhn376Kf7+/gC88MILpKen8/PPPzNq1CiKi4uN583Ly2P9+vU0adIERVEoKirC1dWVUaNG4ezsTLt27Th9+jTh4eEUFxfTvHlzoORJ3/PPP09RURFqtZrr16/j7+/P2bNnuXbtGgUFBcYPYevWrXFycuL8+fP88ssvrFu3DoCdO3fi6+vL7t27adGiBa+99hrLli3j5s2bqNVqFi5cSFFREXv37mX16tW4uroav6VL264cHR1JT083PgV95513+PHHHwkKCkKj0dC0aVNSU1Np06YN69ev59q1a8YalaOj4/9v725DmmrDOID/PflSviRpDTUhSLISW63ClTXpRdMSTQgrK7I3QTAVaWlIJtY+lDOTRmYa9CmkVCQpgl4h0JWWFUVEtvJ9bR9KK11uzuv58DwenpX6WOZjw+sH+7DDuc9972xc3Ofivq9h8+bNKCsrw8DAAD5//oykpCS4u7vDzc3tp7+3OXPmQC6Xo76+HufPnxdnXpWVleju7saiRYswb9489Pf3w2g0orq6GteuXYOvry/y8vJQUlICQRCg0+ng6OiIM2fOwN3dHUqlEkqlEm1tbTCbzRAEAcuWLYO7uzscHBwgCIKYlG9qasLixYvh6uqKPXv2oKysDJ8+fcKdO3cQFBQkjjUuLg4vX76Eh4cHVCoViouL4eTkBC8vL7S0tCA4OBiCIGDGjBkQBAGtra1wcHDA3r17AQAzZ85EcXEx1Go1AgIC0NjYiLi4OERFRUEmk+HWrVs/3B8iwrNnz9Dd3Q2tVguTyQRnZ2fU1tYiODgY169fh8lkgoeHByQSCdrb2xETE4O2tja4urqKs+nvr2kymZCcnAwPDw84OjrCz88PWVlZsFqtmDZtGrZt2wZBEDB79mwsX74c9fX1aG1txY4dOyAIAoqKipCeno6IiAjk5eXBYDAgNTUVW7ZsQUFBAbKzs1FTU4OKigrMmjUL5eXlOHr0KDQaDU6ePIne3l4IgoCsrCyEhoaKY4uNjYWLi4v4Pfj7+w/9w6FJrKGhgaKjo2lgYGCihzJmJpOJLBYLEREZDAZSKBSk0+kmeFRDs1gsFBkZSc+fPyciosrKStq+ffsEj2pkPT094u+kqamJVqxYQV1dXaNuv2vXLrp37954DW9SsOuZ1VhkZ2ejrq4Op06dGnFNjb1obm5GVlYWiAj9/f04ePCg+Aj4J7l79y5UKhUkEglycnJgtVrh6ekJlUo10UMbUWNjI/Lz88UUwYkTJ2wSxWz82eU6K8bY5GPXCXbG2OTBwYoxZhc4WDHG7AIHK/ZH6+zshEwmE5dgsMmLgxUblXXr1kEqlUImk4mv48ePj9jm0aNHCAsLG1O/fn5+ePr0qbiV52e9efMG+/fvh1wuF7dAjYZGo4FSqfylPtn4mLRLF9jPKykpsVnMN94GF3COtX1UVBQSEhKQkpLyG0fH/m88s2Jjkpubi7S0NPG9Wq1GYmIient7kZSUBKPRKM7EBjf6lpaWIjw8HHK5HOnp6ejq6gIAtLe3Y/78+aioqMCaNWuQmJgoHhvcE2gwGJCcnIyQkBBERETg6tWrYt8ajQZpaWlQKpVYunQpqqurMXfuXMTHx4vFEr9XWloKhUIBmUyGyMhIaLVaPHjwABcuXMDNmzchk8kQGxs7jneQjdrErkll9mLt2rVUW1v7w/He3l7asGEDVVVVUUNDA4WEhJBerycioocPH5JCobA5/9KlSxQfH096vZ76+vooJyeHMjIyiIiora2NAgMD6fDhw9TT00Mmk0k8Nrg6f+fOnZSbm0vfvn2jV69ekVwup7q6OiIiOnv2LAUFBdHt27fJarWSyWQS+21ubqbAwECbseh0OgoLC6MPHz6I/be0tIjXOnTo0O+4dew34cdANmopKSk2uaPMzExs3boVarUaBw4cgJubG3JycuDj4zPsNa5cuYJjx46J5wyW5f13NYXU1FS4urr+0Fav1+PJkycoKSmBi4sLFi5cKFZ4WLlyJQBgyZIlCA8PBwBMnTp1xM8zZcoUmM1m6HQ6eHl5Db8njf0ROFixUTt37tyQOSupVAp/f398/PgRGzduHPEanZ2dSElJsamfJQiCTfWG4YKd0WiEp6enWNcJ+DsB/+8yLCMFyu8N1hLTaDR4+/YtVq9ejSNHjgxZF41NPM5ZsTG7fPkyLBYLJBKJWIsKwJB7Ln18fFBWVobHjx+LrxcvXtgEiOH2akokEnR3d+Pr16/iMb1eP6q2w4mJiUF5eTnu378PBwcHFBQU/NJ12PjjYMXG5P379ygqKoJarUZ+fj4uXrwo1oPy9vZGV1cXvnz5Ip6fkJCAoqIidHR0APi7/tdgVc//4uvrC5lMhsLCQvT19eH169eorKxETEzMsG3on39yGazl1NfXB7PZDAB49+4dtFotzGYznJ2dxQJ4g2Pv6OiwKdbHJhY/BrJRS05OtslZhYaGwmAwICkpCQsWLAAAZGRkIDMzE1VVVQgICEB0dDTCw8NhtVpx48YN7N69G0SEffv2wWg0wtvbG5s2bRLzTP+lsLAQubm5UCgUmD59OlJTU7Fq1aphz+/o6MD69evF91KpVKwNZjabcfr0aeh0Ojg5OdmsHYuKikJNTQ3kcjn8/f1RXV39K7eM/UZcdYExZhf4MZAxZhc4WDHG7AIHK8aYXeBgxRizCxysGGN2gYMVY8wucLBijNkFDlaMMbvAwYoxZhf+Ag8dBUMYU6OkAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for feature in X_cat.columns:\n",
    "    plt.figure(figsize=(4,6))\n",
    "    plt.title(f\"{str(feature)} vs log Sale Price\")\n",
    "    sns.boxplot(X_cat[feature],y)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T12:23:13.308961Z",
     "start_time": "2020-05-01T12:23:13.303957Z"
    }
   },
   "source": [
    "# Handling Null Values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:10.304715Z",
     "start_time": "2020-05-01T20:33:10.267249Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "X_cat=handle_na(X_cat, 'mode')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Label encode features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:12.661189Z",
     "start_time": "2020-05-01T20:33:12.587808Z"
    }
   },
   "outputs": [],
   "source": [
    "le=LabelEncoder()\n",
    "X_cat_le=pd.DataFrame()\n",
    "for col in X_cat.columns:\n",
    "    X_cat_le[col] = le.fit_transform(X_cat[col])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Split into Train and validation set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:18.18611Z",
     "start_time": "2020-05-01T20:33:18.170481Z"
    }
   },
   "outputs": [],
   "source": [
    "Xc_train, Xc_test, yc_train,yc_test=train_test_split(X_cat_le,y, test_size=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fit and Evaluate Random Forest Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:19.703039Z",
     "start_time": "2020-05-01T20:33:19.594512Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RandomForestRegressor(bootstrap=True, ccp_alpha=0.0, criterion='mse',\n",
       "                      max_depth=None, max_features='auto', max_leaf_nodes=None,\n",
       "                      max_samples=None, min_impurity_decrease=0.0,\n",
       "                      min_impurity_split=None, min_samples_leaf=1,\n",
       "                      min_samples_split=2, min_weight_fraction_leaf=0.0,\n",
       "                      n_estimators=100, n_jobs=None, oob_score=False,\n",
       "                      random_state=None, verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model=RandomForestRegressor()\n",
    "model.fit(Xc_train,yc_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:27:06.022059Z",
     "start_time": "2020-05-01T20:27:05.990799Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9524313456452164\n",
      "Test score : 0.6987670354910185\n"
     ]
    }
   ],
   "source": [
    "print(f\"Train score : {model.score(Xc_train,yc_train)}\")\n",
    "print(f\"Test score : {model.score(Xc_test,yc_test)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature importance from RF Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:28:16.178674Z",
     "start_time": "2020-05-01T20:28:15.493173Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feat_imp=pd.DataFrame({\"Feature\":Xc_train.columns,\"imp\":model.feature_importances_})\n",
    "feat_imp=feat_imp.sort_values('imp', ascending=False)\n",
    "\n",
    "plt.figure(figsize=(10,4))\n",
    "plt.title(\"Feature Importance\", fontsize=16)\n",
    "sns.barplot('Feature', 'imp', data=feat_imp)\n",
    "plt.xticks(rotation=80)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Calculate Training and Validation Accuracy for different number of features"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:29:05.115898Z",
     "start_time": "2020-05-01T20:28:50.989561Z"
    }
   },
   "outputs": [],
   "source": [
    "feat=[]\n",
    "score_train=[]\n",
    "score_test=[]\n",
    "for i in range(29):\n",
    "    imp_ft=feat_imp.head(i+1).Feature.unique()\n",
    "\n",
    "    X_cat_imp=pd.DataFrame()\n",
    "    for col in imp_ft:\n",
    "        X_cat_imp[col] = le.fit_transform(X_cat[col])\n",
    "\n",
    "    Xc_train, Xc_test, yc_train,yc_test=train_test_split(X_cat_imp,y, test_size=0.2)\n",
    "\n",
    "    model=RandomForestRegressor(n_estimators=100)\n",
    "    model.fit(Xc_train,yc_train)\n",
    "    feat.append(i+1)\n",
    "    score_train.append(model.score(Xc_train,yc_train))\n",
    "    score_test.append(model.score(Xc_test,yc_test))\n",
    "    \n",
    "acc_feat_df=pd.DataFrame({\"Feature\":feat,\"TrainAcc\":score_train,\"ValAcc\":score_test})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot Number of Features vs Model Performance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:29:05.744923Z",
     "start_time": "2020-05-01T20:29:05.115898Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "sns.lineplot('Feature', 'TrainAcc', data=acc_feat_df, label=\"Training Accuracy\")\n",
    "sns.lineplot('Feature', 'ValAcc', data=acc_feat_df, label=\"Validation Accuracy\")\n",
    "plt.xlabel(\"Number of Features\")\n",
    "plt.ylabel(\"R2 Score\")\n",
    "plt.xticks(rotation=80)\n",
    "plt.xlim(1,29)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observation:\n",
    "* We can observe significant increase in train and validation accuracy with increase in features intitially.\n",
    "* After around 10 features, no significant improvement can be observed in either train or validation accuracy.\n",
    "* This is known as Curse of Dimensionality.\n",
    "* We can select the ideal number of features depending \n",
    "* I am selecting top 17 features for training"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# List of selected Categorical Features "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:29:58.058591Z",
     "start_time": "2020-05-01T20:29:58.02057Z"
    }
   },
   "outputs": [],
   "source": [
    "cat_features=list(feat_imp.iloc[:17,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model Testing Only catagorical Featues"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:33:35.841991Z",
     "start_time": "2020-05-01T20:33:35.68442Z"
    }
   },
   "outputs": [],
   "source": [
    "# Selecting only important features\n",
    "X_cat=X_cat[cat_features]\n",
    "# OHE features\n",
    "X_cat=pd.get_dummies(X_cat)\n",
    "# Scaling the data\n",
    "X_cat=scale_df(X_cat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:34:09.18383Z",
     "start_time": "2020-05-01T20:34:09.140152Z"
    }
   },
   "outputs": [],
   "source": [
    "X_train, X_val, y_train, y_val=train_test_split(X_cat,y, test_size=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:34:12.654452Z",
     "start_time": "2020-05-01T20:34:12.596056Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.7908622685056896\n",
      "Validation score : -6.80037158711407e+21\n"
     ]
    }
   ],
   "source": [
    "model=LinearRegression()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:34:15.843004Z",
     "start_time": "2020-05-01T20:34:15.495971Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9097493894318202\n",
      "Validation score : 0.8144510088978157\n"
     ]
    }
   ],
   "source": [
    "model=SVR()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:34:19.797935Z",
     "start_time": "2020-05-01T20:34:18.618669Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.953897193181902\n",
      "Validation score : 0.778851385110221\n"
     ]
    }
   ],
   "source": [
    "model=RandomForestRegressor(n_estimators=100)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:34:31.4327Z",
     "start_time": "2020-05-01T20:34:30.963803Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9031272879567466\n",
      "Validation score : 0.7915922257613895\n"
     ]
    }
   ],
   "source": [
    "model=XGBRegressor(learning_rate=0.1)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observation:\n",
    "* Linear Regression preforms very poorly in validation.\n",
    "* Other three models have similar accuracy in validation, eventhough Random Forest model is overfitting."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FEATURE ENGINEERING IN COMBINED TRAIN AND TEST DATA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:45:12.490226Z",
     "start_time": "2020-05-01T20:45:12.288632Z"
    }
   },
   "outputs": [],
   "source": [
    "#Combine train and test data\n",
    "Xtt=pd.concat([X_trainfull,df_test])\n",
    "\n",
    "#Split into Numeric and categoric features\n",
    "Xtt_num= Xtt[num_features]\n",
    "Xtt_cat= Xtt[cat_features]\n",
    "\n",
    "#Handling null values\n",
    "Xtt_cat=handle_na(Xtt_cat, 'mode')\n",
    "Xtt_num=handle_na(Xtt_num,'mean')\n",
    "\n",
    "#OHE Categoric features\n",
    "Xtt_cat=pd.get_dummies(Xtt_cat,drop_first=True)\n",
    "\n",
    "#Combine Numeric and Categorical features\n",
    "Xtt=pd.concat([Xtt_num,Xtt_cat], axis=1)\n",
    "\n",
    "#Scale Features\n",
    "Xtt=scale_df(Xtt)\n",
    "\n",
    "#Training and Testing Features after Feature Engineering\n",
    "X=Xtt.iloc[:df_train.shape[0],:]\n",
    "X_test=Xtt.iloc[df_train.shape[0]:,:]\n",
    "\n",
    "#Training and Validation features and target\n",
    "X_train, X_val, y_train, y_val=train_test_split(X,y, test_size=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training, Evaluation and Prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:45:14.918892Z",
     "start_time": "2020-05-01T20:45:14.870975Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.8999607243849578\n",
      "Validation score : -1.5019648817117228e+22\n"
     ]
    }
   ],
   "source": [
    "model=LinearRegression()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")\n",
    "y_LR=model.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:45:23.533141Z",
     "start_time": "2020-05-01T20:45:23.155705Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9419417273972271\n",
      "Validation score : 0.8253299401255757\n"
     ]
    }
   ],
   "source": [
    "model=SVR()\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")\n",
    "y_SVR=model.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:45:27.715636Z",
     "start_time": "2020-05-01T20:45:26.288874Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9797423910666903\n",
      "Validation score : 0.8262214684161148\n"
     ]
    }
   ],
   "source": [
    "model=RandomForestRegressor(n_estimators=100)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")\n",
    "y_RF=model.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:45:31.90212Z",
     "start_time": "2020-05-01T20:45:31.457693Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train score : 0.9752208989442901\n",
      "Validation score : 0.8325627652603131\n"
     ]
    }
   ],
   "source": [
    "model=XGBRegressor(learning_rate=0.1)\n",
    "model.fit(X_train,y_train)\n",
    "print(f\"Train score : {model.score(X_train,y_train)}\")\n",
    "print(f\"Validation score : {model.score(X_val,y_val)}\")\n",
    "y_XGB=model.predict(X_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observation:\n",
    "* Performance of Linear Regression is very poor in validation data\n",
    "* Accuracy of SVM model is reasonable\n",
    "* RF model is overfitting, still gives validation accuracy better than SVM model\n",
    "* XGBoost model gives the best result in validation data. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prepare Submission file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-05-01T20:50:43.157212Z",
     "start_time": "2020-05-01T20:50:43.111751Z"
    }
   },
   "outputs": [],
   "source": [
    "sub = pd.DataFrame()\n",
    "sub[\"Id\"] = df_test.Id\n",
    "sub[\"SalePrice\"] = np.expm1(y_XGB)\n",
    "sub.to_csv(\"submission.csv\", index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# UPVOTE THE KERNEL IF YOU FIND IT HELPFUL "
   ]
  }
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